Suppose that Stephen is the quality control supervisor for a food distribution company. A shipment containing many thousands of apples has just arrived. Unknown to Stephen, 13% of the apples are damaged due to bruising, worms, or other defects. If Stephen samples 10 apples from the shipment, use the binomial distribution to estimate the probability that his sample will contain at least one damaged apple. Select the true statement.
A. Stephen can use a sample of size 10 to reliably determine if the truck load contains damaged apples.
B. Stephen could use a sample of size less than 10 to reliably determine if the truck load contains damaged apples.
C. Stephen could have used a normal approximation to determine this probability.
D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.
E. Stephen should sample with replacement so that the probability is exactly binomial.

Answers

Answer 1

Answer:

D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.

Step-by-step explanation:

We have probability of having damaged apple = 13%

= 13/100

= 0.13

Sample size n = 10

Using the binomial distribution

P(X=x) = nCx * P^x(1-P)^n-x

Probability sample will have at least one damaged apple

= P(X>=1) = 1-p(x<1)

= 1 - P(X=0)

= 1-(10C0 *P⁰(1-0.13)¹⁰

= 1 - 1(1-0.13)¹⁰

= 1 - 0.87¹⁰

= 1 - 0.2484

= 0.7516

The answer is option D. A sample of size 10 is too small to reliably determine if the truck load contains damaged apples.


Related Questions

Prove that a+b/2≥√ab

Answers

Start by squaring both sides got remove the sqrt
[(a+b)/2]^2 ≥ ab
(a^2 +2ab +b^2 )/4≥ ab
Multiply both sides by 4
a^2 +2ab +b^2 ≥ 4ab
Subtract 2ab from both sides
a^2 + b^2 ≥ 2ab
Subtract 2ab from both sides
a^2 - 2ab + b^2 ≥ 0
Use quadratic equation to solve where a = 1 and b = -2b
2b ± sqrt[(-2b)^2 - (4x1xb^2)]/(2x1)
2b ± sqrt[4b^2 - 4b^2]/2
(2b ± 0)/2
a = b
Substituting for b in the equation a^2 + b^2 ≥ 2ab
2a^2 ≥ 2a^2

help pls/////////////////

Answers

Answer:

It might be past the time, but I think the second one.

Step-by-step explanation:

Cole is 6 years older than Ryan. The sum of their ages is 84. How old is Cole

Answers

Answer:

It will be 78

Step-by-step explanation:

Because if you do 84 minus 6 you get 78

Jamal gets ready for a basketball game by shooting 101010 free-throws. Based on previous data, he has a 70% chance of making each free-throw. Assume that the results of each free-throw are independent.
Which of the following would find the probability of Jamal making exactly 8 of 10 free-throws?
A) (10
7) (0.70)^7(0.30)^3


B) (10
8) (0.70)^8(0.30)^2
C) (10
8) (0.70)^2(0.30)^8
D) (70
10) (0.70)^8(0.30)^2
E) (0.70)^8(0.30)^2

Answers

Answer: you’re welcome

Step-by-step explanation:

The probability for the given case is ⁰C₈(0.8)⁸(0.3)². The correct option is (c).

How to find probability using binomial distribution?

The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.

In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.

Given that,

The probability of making free-throw is 70% = 70/100 = 0.7

Then, the probability of not making free-throw is 1 - 0.7 = 0.3.

The exact 8 free-throws out of 10 implies that there will be 2 throws that are not free.

So, this case belongs to the binomial distribution which can be written as,

ⁿCₓpˣqⁿ⁻ˣ, where p is the probability of success and q is the probability of failure, n is the total number of trials and x is the number of favorable trials.

Now, in order to find the probability of exact 8 free-throws out of 10 can be found using binomial distribution as follows,

P (exact 8 throws) = ¹⁰C₈(0.8)⁸(0.3)²

Hence, the probability of getting exact 8 free-throws out of 10 is  ¹⁰C₈(0.8)⁸(0.3)².

                             

To know more about binomial distribution click on,

https://brainly.com/question/14565246

#SPJ2




4. Patti and her friends want to see one of
two movies. One movie starts in 1 day
2 hours 20 minutes. The other movie
starts in 1 day 4 hours 10 minutes. The
later movie starts at 5:00 P.M. At what
time does the earlier movie start?

Answers

Answer:

The earlier movie starts at 1610 (4:10 PM)

Step-by-step explanation:

The later movie starts at 1700 (5:00 PM), and is in 1 day, 4 hours and 10 minutes. That means the time is __:50. Additionally, it's in 4 hours. 1700 - 400 = 1300 (1:00 PM). Now we know the time is 1350 (1:50 PM) presently.

If it's currently 1:50 PM, and the earlier movie starts 2 hours from this time tomorrow, then it begins at 1350 + 200 = 1550 (3:50PM). Take into account that there's also another 20 minutes before the movie commences, it will be 1610 (4:10 PM).

Good luck!!

What is the length of DE?
O 1 unit
O 3 units
O
4 units
4 units
o

Answers

Answer:

3 units :D

Step-by-step explanation:

Which number is a rational number?
36
16
6
6
36
6
16

Answers

Answer:

√36/√16 is a rational number as it can be written as 6/4=3/2 which is rational

I need these 3 and I’ll give brainliest

Answers

14. k=-9 15. C makes the equation true so All real numbers. 16. There are no values of Y so the answer is “No soultion”.

Plsssss first person to do all of them gets 40 points if you don’t do all of them i will report also if you put random stuff i will report if you do it all correct i will put brainlyist and put 5 stars and a heart

Answers

Answer:

Trapezoid: [tex]31.59cm^{2}[/tex]

Square: [tex]96.04 miles^2[/tex]

Circle: [tex]314.15926535898 miles^2[/tex]

Rectangle: [tex]44.7miles^2[/tex]

Step-by-step explanation:

I labeled one of the pictures wrong, but if you look at the numbers, you should be able to tell them apart ;)

I hope I helped, and I always appreciate brainliest!!! :)

I'll give points and brainalist for answer / explanation

Answers

Answer:

C

The perimeter of a square is the measure around it [ the square ]. The circumference of a circle is finding the distance/finding the measure of the distance around a circle.

Hope that helps! :)

The width of a kitchen is 4.2 metres.
Kitchen cupboard widths are 60cm.
How many kitchen cupboard will fit in 4.2 metres?
Enter the number only

Answers

Given:

The width of a kitchen is 4.2 metres.

Kitchen cupboard widths are 60 cm.

To find:

The number of kitchen cupboard that will fit in 4.2 metres.

Solution:

Let x be the number of kitchen cupboard that will fit in 4.2 metres.

Width of 1 cupboard = 60 cm

Width of x cupboards = 60x cm

We know that, 1 m = 100 cm.

Width of a kitchen = 4.2 metres

                              = 4.2×100 cm

                              = 420 cm

Now, the width of the x cupboards is equal to width of the kitchen.

[tex]60x=420[/tex]

[tex]x=\dfrac{420}{60}[/tex]

[tex]x=7[/tex]

Therefore, the number of kitchen cupboard that will fit in 4.2 metres is 7.

I need help. 18 = a/2

Answers

[tex]a = 36[/tex] ✔

Step-by-step explanation:

[tex]18 = \frac{a}{2} \\ ➡ \: a \: = 18 \times 2 \\ ➡ \: a = 36[/tex]

[tex]\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆[/tex]

lol plss we did this literally a week ago and I forgot how to do it

Answers

Answer:

okay so i believe its area (if its not ill comment the right answer) so you just do the height (12) times the length (12) giving you 144

Step-by-step explanation:

How do I find the quotient 2/5 divide by 1/4
multiply 5 by 4
multiply 5 by 7
multiply by
multiply by 4

Answers

Answer:

A. [tex] \frac{2}{5} \times 4 [/tex]

Step-by-step explanation:

Given:

[tex] \frac{2}{5} \div \frac{1}{4} [/tex]

To find the quotient, we would multiply the first fraction (⅖) by the reciprocal of the second fraction (reciprocal of ¼ = 4).

This, we would have:

[tex] \frac{2}{5} \times 4 [/tex]

[tex] = \frac{8}{5} [/tex]

Answer:

A) multiply 2/5 by 4

Step-by-step explanation:

I think this is edge I literally just did this

pls give 5 star brainly and heart :)))

help me pls. answer correct

Answers

Answer:

1st answer is

[tex](x.y) = ( \frac{38}{5} . \frac{2}{5} ) \\ [/tex]

2nd answer is (x, y) =(36, 45)

use the expression (8x + 2) + (-9x + 7)
a. find the sum
b. explain how you know when to combine terms with variables

Answers

combine like terms, you would get -1+9 which your answer would be 8

At arman's Co. pretzels are move from ovens to packaging in a line of 25. Every fifth pretzels is tested fir weight. Every third pretzel is tested for size, how many of the 25 pretzels are not checked or tested?

Answers

Answer:

Step-by-step explanation:

5 times 25 3 times 25 add both anwsers

13 out of 25 pretzels are not checked or tested.

Let the 25 pretzels be:

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25.

Every fifth pretzels is tested for weight.

Collect all the multiples of 5 till 25.

So, pretzels that are tested for weight are: 5, 10, 15, 20, 25.

Every third pretzel is tested for size

Collect all the multiples of 3 till 25.

So, pretzels that are tested for size are: 3, 6, 9, 12, 15, 18, 21, 24.

Now, pretzels that are not checked or tested are: 1, 2, 4, 7, 8, 11, 13, 14, 16, 17, 19, 22, 23.

They are 13 in number.

13 out of 25 pretzels are not checked or tested.

Learn more about multiples here:

https://brainly.com/question/12017228?referrer=searchResults

Answer please. Tysm!

Answers

Answer:

6a5 + 5b

Step-by-step explanation:

plz answer the question below

Answers

Answer: i dont know about "Polygon" but if you need the area of the shape above, I would say its a "Parallelogram", then the area would be 36

Step-by-step explanation: A = B.H -> 9 x 4 = 36

PLS HELP! (THE QUESTION IS A PICTURE CLICK ON THE QUESTION FIRST)

Answers

All triangles angles in the inside add up to 180, so 180-76-72=32

Any hot you have an index card with a number 1 through 10 written on them find how many of the 10 possible numbers you can pick match describe event and drag and drop each of the numbers into the contact Box the order the event is most 1 likely to happen to most likely of happened 8 you will pick one card at random

Answers

there is a 10% possibility to every single number to be chosen.

Next

Comparing Functions: Mastery Test

1

Select the correct answer.

Melissa and Robbie are flying remote control gliders.

The altitude of Melissa's glider, h(s), in feet, is modeled by this function, where sis time, in seconds, after launch.


The altitude of Robbie's glider is modeled by function r, where sis time, in seconds, after launch.

Answers

Answer:

C. Robbie's glider

Step-by-step explanation:

P.S -The exact question is -

Given - Melissa and Robbie are flying remote control gliders.

The altitude of Melissa's glider, h(s), in feet, is modeled by this function, where sis time, in seconds, after launch.

m(s) = 0.4(s³ - 11s² + 31s – 1)

The altitude of Robbie's glider is modeled by function r, where sis time, in seconds, after launch.

To find - Which glider reaches the greater maximum altitude in the first 6 seconds after launch?

A. Neither glider reaches a maximum altitude on the given interval.

В. Melissa's glider

C. Robbie's glider

D. Both gliders reach the same altitude on the given interval.

Proof -

At t = 6 sec,

Melisa glider is

h(6) = 0.4((0.6)³ - 11(0.6)² + 31(0.6) – 1)

      = 0.4( 0.216 - 3.96 + 18.6 - 1 )

      = 0.4(13.856) = 5.5424

⇒h(6) = 5.5424

∴ we get

At t = 6 seconds, Melissa glider is at the altitude of 5.54 feet

Now,

From the figure, we can see that,

At t = 6 seconds, Robbie's glider is approximately at an altitude of 13 feet

Now,

As 13 > 5.5

So,

Robbie's glider is at maximum height in 6 seconds after the launch.

So,

The correct option is - C. Robbie's glider

the volume of water in eight containers are 3.1, liters, 2.8 liters, 3.2 liters, 4.2 liters, 3.9 liters, 5.6 liters, 3.7 liters, and 4.5 liters find the median volume

Answers

Answer: 4.05

Step-by-step explanation: the two median numbers are 4.2 and 3.9 divided by 2 and that gave me 4.05

A rectangular garden has an area of 63ft2. The length of the garden is 2 feet more than the width. Find the length and the width of the garden.

Answers

Answers:

L = 64

W= 62

Explanation:

please help!!!Its timed !!!!! Ill give out most brainly and extra points !!!

Answers

Answer:

D)x=4,y=7

Step-by-step explanation:

to understand thisyou need to know about:equationPEMDASlet's solve:

according to the question

[tex] \begin{cases}x + 29 = 7x + 5 \\ 8y - 35 =3y \end{cases}[/tex]

[tex] \begin{cases}x -7x= 5-29 \\ 8y - 3y=35 \end{cases}[/tex]

[tex] \begin{cases}-6x= -24\\ 5y=35 \end{cases}[/tex]

[tex] \begin{cases}\frac{-6x}{-6}=\frac{-24}{-6} \\ \frac{5y}{5}=\frac{35}{5} \end{cases}[/tex]

[tex] \therefore \begin{cases} x=4\\ y=7 \end{cases}[/tex]

model the unknown number problem by writing an algebraic expression. Then complete the statements
juan doubled his workout time

Answers

Is there a picture to the question

Which set of ordered pairs does not represent a function?
O {(3,4),(-9,5 (-3,8),(-2,8)}
O {(5,5), (5, -9),(-1,-8), (-4, – 7)}
O{(-5, -8), (0, -4),(-8,-8), (6,6)}
o{(-1,7), (1,8), (0, -3), (-4, -3)}

Answers

Answer:

B

Step-by-step explanation:

Jonah drives his car to and from work. The total length of the trip to and from
work is 198 miles. In
August, Jonah worked 21 days.
How many miles in all did Jonah drive to and from work that month? Complete the explanation.
19.8
x21
(answer)
+(answer)
(answer Jonah drove(answer)
miles in August. (no files please, i need this due today)

Answers

514.8 your welcome

All you have to do is multiply 19.8 x 26

A company offers free shipping on orders that weigh less than 5000 grams. How much is this in kilograms?
Be sure to include the correct unit in your answer.

What’s the answer to this is

Answers

Answer:

5 kilograms

Step-by-step explanation:

1000 grams is equal to 1 Kilogram, so 5000 Grams is equal to 5 Kilograms

Mrs Brown and Mrs Jones make 4 dozen sandwiches in half an hour in Mrs Jones’ small kitchen. If they had 30 friends in to help, how many sandwiches could be made in the same time?

Answers

Answer:

1488 sandwiches in thirty minutes

Step-by-step explanation:

Other Questions
If 43.1 g of O2 and 6.8 g of CO2 are placed in a 13.7 L container at 34 degrees C, what is the mixture of gasses?answer must be in atm Question of 35Which belief is important to Muslims?A. Non Muslims should be forced to study in madrassasB. Muhammad is an important prophet of AllahO C. Prayer should be performed only on special holidays.D. Only priests should travel to the holy city of Mecca, Calculate this please and you will get the brainlist 11 "Jennie Colligan worked as a nurse on Ellis Island for twenty years. The caption above helps me understand that the nurse in the photograph likely After sales tax, a $96 watch costs$101.28. What is the sales taxpercentage?A:6.2%B:5.5%C:5.2%D:8.5% How might green spaces help reduce the negative impact that humans have on Earths water supply? For which of the reasons would a reader of Frankstein most likely find Victor's to be a role as a sympathetic character? Avery buys a sandwich for $7.69 and a soft drink for $2.75 how much more did the sandwich cost than the softdrink A valid scientific investigation must be able to be Can yall help me on question 27?! If you visited Texas after the Civil War, you would notice that the state had become a leader in which of the following? A-Manufacturing B-Ranching C-Textile D-Fishing Select the Clause from the drop-down menu to correctly complete the sentence. _____________Congratulations to the bride and groom!A: Although he had never said it before:B: Because we all feel this way:C: She had never been happier to say these words:D: When it is a perfect occasion to say:Please help me, Im really stumped here. Help ASAP!! Use IMAGE!! Which of the following lines contains a metaphor?When in disgrace with fortune and mens eyes,Hope springs eternal in the human breast.The old lie.Busy old fool, unruly Sun, what does it mean to evaluate an expression in 5th grade How many moles are in 297g of nh3?Please show work, will give brainliest. what is the positive of 65 million pls help 20=c/5can you show your work thanks Someone help me I need this one fast The adun koro, a ritual object created for festivals in Africa during the early modern period, shows the influence of _____ in art.A. hierarchy B. AnimismC. Government D. Wealth Carlos mixed \dfrac4{15}\text{ L} 15 4 Lstart fraction, 4, divided by, 15, end fraction, start text, space, L, end text of chocolate syrup with \dfrac12\text{ L} 2 1 Lstart fraction, 1, divided by, 2, end fraction, start text, space, L, end text of milk. Determine a reasonable estimate of the total amount of liquid Carlos mixed