Suppose that Upper X has a discrete uniform distribution f left-parenthesis x right-parenthesis equals StartLayout left-brace1st Row 1st Column 1 divided by 3, 2nd Column x equals 1,2,3 2nd Row 1st Column 0, 2nd Column otherwise EndLayout A random sample of n equals 33 is selected from this population. Find the probability that the sample mean is greater than 2.1 but less than 2.4. Express the final answer to four decimal places (e.g. 0.9876).

Answers

Answer 1

Answer:

the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444

Step-by-step explanation:

Given the data in the question;

x        f(x)         xp(x)               x²p(x)

1         1/3        0.33333        0.33333

2        1/3        0.66667        1.33333

3        1/3        1.00000        3.0000

∑                    2.0000          4.6667

∑(xp(x)) = 2

∑(x²p(x)) = 4.6667

Variance σ² = ∑(x²) - ∑(x)² = 4.6667 - (2)² = 4.6667 - 4 = 0.6667

standard deviation σ = √variance = √0.6667 = 0.8165

Now since, n = 33 which is greater than 30, we can use normal approximation

for normal distribution z score ( x-μ)/σ

mean μ = 2

standard deviation = 0.817

sample size n = 33

standard of error σₓ = σ/√n = 0.817/√33 = 0.1422

so probability will be;

p( 2.1  < X < 2.4 ) = p(( 2.1-2)/0.1422) <  x"-μ/σₓ  <  p(( 2.4-2)/0.1422)

= 0.70 < Z < 2.81    

=  1 - ( 0.703 < Z < 2.812 )

FROM Z-SC0RE TABLE

=  1 - ( 0.25804 + 0.49752 )

= 1 - 0.75556

p( 2.1  < X < 2.4 ) = 0.2444

Therefore,  the probability that the sample mean is greater than 2.1 but less than 2.4 is 0.2444


Related Questions

Round 456.5347 to 1. d.p

Answers

456.5
because the 2 d.p is lower than 5 you round down
The answer is 456.5
....................

please answer asap i need help

Answers

Answer:

x = 11

Step-by-step explanation:

interior angles of a triangle = 180

equation:

⇒ 82 + 31 + 6x + 1 = 180

combine like terms:

⇒ 82 + 31 + 6x + 1 = 180

⇒ 114 + 6x = 180

subtract 114 on both sides:

⇒ 114 - 114 + 6x = 180 - 114

⇒ 6x = 66

divide 6 on both sides:

⇒ 6x = 66

⇒ [tex]\frac{6x}{6} = \frac{66}{6}[/tex]

⇒ x = 11

How are a parallelogram and a trapezoid different?
O A Atrapezoid has only 1 pair of parallel sides but a parallelogram has 2
O BA parallelogram has 4 nght angles but a trapezoid doesn't need to have 4 night angles
OC A parallelogram has only 1 pair of parallel sides but a trapezoid has 2
D. A trapezoid has 4 right angles but a parallelogram doesn't need to have 4 night angles
8 07 13 Answered

Answers

Answer:

(a) A trapezoid has only 1 pair of parallel sides but a parallelogram has 2

Step-by-step explanation:

Required

The difference between a trapezium and a parallelogram

The major difference is:

A trapezium has a pair of parallel side, the other sides are not parallel

A parallelogram has 4 sides where opposite sides are parallel (i.e 2 pairs of parallel sides).

Hence, (a) is correct

Use the two-way table to answer the question.
A student surveys classmates to find out if they prefer muffins or cookies with or without nuts. The table summarizes the responses of the survey.

Part B
If a student prefers nuts, what is the approximate probability the student also prefers muffins?
O 11%
O 18%
O 31%
O 46%

Answers

Answer:

A.) 11%

Step-by-step explanation:

Step 1) There are 9 favorable outcomes but only 1 outcome is possible, so that leaves us with a fraction of: [tex]\frac{1}{9}[/tex]

Step 2) Then we need to turn this into a decimal to find the percentage:

1 ÷ 9 = 0.111111111...

Step 3) We now need to turn this into a percent:

0.11 x 100% = 11%

Thank you to anyone who who answers

Answers

Answer:it should be 8

Step-by-step explanation:

GEOMETRY!! Will give brainliest

Answers

Answer:

60

Step-by-step explanation:

(20x15)0.5

60 because you distribute the .5

if you were a doughnut shop owner and wanted to find out which doughnut you should make more of, which measure of central tendency would you use.​

Answers

Answer:

Mode

Step-by-step explanation:

Measures of central tendency:

The 3 most common measures of central tendency are: The mean, the median, and the mode.

The mean is the average value.

The median separates the lower 50% of the values from the upper 50% of the values.

The mode is the value that appears the most times in the data-set.

In this question:

To find the doughnut you should make more, you should have to know which has the biggest interest from clients, that is, the one that is sold the most, which means that the mode should be used.

Answer:

Mode

Step-by-step explanation:

What is 5x²+7x-9-4x²-x+18?

Answers

X^2+6x+9 should be correct

Answer:

5X²+7X-9-4X²-X+18

5X²-4X²+7X-X+18-9

X²+6X+9 =0

X²+(3X+3X)+(3×3)=0

ALL FACTORS ARE =3,3   that is  pdt of factor 3×3 =9   sum =3+3 =6

(X+3) ( X+3) =0  

X+3 =0

X=-3

ANS = X=-3

Step-by-step explanation:


[tex]1.8 greater \: or \: less \: than \: 18percent[/tex]
is 1.8 greater or less than 18% ​

Answers

It’s greater than 18%

Distance between the points (2,7) and (-2,-7)

Answers

Answer:

um isn't it (4,14)

Step-by-step explanation:

Samantha’s annual college tuition is $18,541.89. The college offers a monthly payment plan of 9 equal payments. How much would each monthly payment be?

Answers

i think 2,057.21 because 18,541.89 divided by 9 is 2,057.21

Answer:

18541.89/9 = $2060.21 is the answer

Step-by-step explanation:

Total college tuition = $18541.89

Number of equal payments = 9

Equal payments = 18541.89/9

                           = $2060.21

(Please do correct me if I'm wrong as I'm not completely sure)

Please assist me with this Distribution Problem​

Answers

9514 1404 393

Answer:

  1. 6.1 to 10.3

  2. 9.6 hours

  3. 7.5 hours

Step-by-step explanation:

1. The empirical rule or the supplied chart will tell you that μ ±3σ of the distribution is within 99.7% of the mean. Here, that is ...

  8.2 ±3(0.7) = 8.2 ±2.1 = [6.1, 10.3]

The range of hours is 6.1 to 10.3 hours.

__

2. 2.5% of the distribution is above μ +2σ, or ...

  8.2 +2(0.7) = 9.6 . . . hours

__

3. The bottom 16% of the distribution is below μ -σ, or ...

  8.2 -0.7 = 7.5 . . . hours

f(x)= x2 + 5x at x = 4

Answers

Answer:

x)x+5x

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{If x = 4 and f(x) = y}[/tex]

[tex]\mathsf{y = 4^2 + 5(4)}[/tex]

[tex]\mathsf{4^2 = 4 \times 4 = 16}[/tex]

[tex]\mathsf{y = 16 + 5(4)}[/tex]

[tex]\mathsf{5(4) = 20}[/tex]

[tex]\mathsf{y = 16 + 20}[/tex]

[tex]\mathsf{36= 20 + 16}[/tex]

[tex]\mathsf{y = 36}[/tex]

[tex]\boxed{\boxed{\mathsf{Answer: \bf{y = 36}}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

send helpp pleaseeeeee​

Answers

Answer:

1. VR and TS

2. TS and RS

3. TV and RS

Step-by-step explanation:

I need help with this please!!

Answers

Answer:

...

Step-by-step explanation:ok first off im not good at math try ur best

everybodys smartVwV

express 75 kobo as a decimal of 1 naira 50 kobo​

Answers

Answer:

0.005

Step-by-step explanation:

75/50 = 1.5

1.5/300 = 0.005

Find the x intercept for the graph, 3x-14y+12=0

Answers

the x-intercept would be (-4,0)

The slope indicates that the height ? feet per minute.

Answers

The distances in length and height and the total have the same unit (e.g. feet or meters). When the slope is decreasing, height and slope have a minus as prefix.

Example: a road with 15% slope has an angle of 8.58°. At a length of 200 feet, a height of 30 feet and a total distance of 202.24 feet is covered. Total Distance, Length and Height.

Clare bought an expensive
for £38 000 and sold it 3 years later
for £25 000. Find the percentage loss
that she made on the sale. (1 dp)

Answers

i don’t know the answer and that’s on god

If each cube in the rectangular prism measures 1 cubic foot, what is the volume of the prism?

A. 13 cubic ft
B. 7 cubic ft
C. 6 cubic ft
D. 8 cubic ft

Answers

Answer:

C; 6 cubic ft.

Step-by-step explanation:

theres 6 cubes and each are 1 feet 2^ so therefore 6 times 1 = 6 ft. 2^

The answer is c because there is 6 cubes

Find the volume of the cone.

Answers

Answer:

[tex]v = \frac{1}{3} \times h \times r {}^{2} \times \pi[/tex]

[tex]v = \frac{12cm \times (8cm) { }^{2} \times \pi}{3} [/tex]

[tex]v = \frac{768cm {}^{3}\pi }{3} [/tex]

[tex]v = 256\pi \: cm {}^{3} [/tex]

Can Someone Please Help Me. ?

Answers

It’s the 4th one because the x axis is horizontal and -2 is on the x axis and 0is in the x and y axis

A very large bag contains more coins than you are willing to count. Instead, you draw a random sample of coins from the bag and record the following numbers of each type of coin in the sample before returning the sampled coins to the bag. If you randomly draw a single coin out of the bag, what is the probability that you will obtain either a quarter or a penny

Answers

Missing Details

Quarters  ≡ Dimes ≡  Nickels ≡  Pennies

23             ≡   29      ≡  17           ≡  38

Answer:

[tex]P(Q\ or\ P) = 0.5701[/tex]

Step-by-step explanation:

Given

[tex]Quarters = 23[/tex]

[tex]Dimes = 29[/tex]

[tex]Nickels = 17[/tex]

[tex]Pennies = 38[/tex]

First, we calculate total number of coins

[tex]Total = 23 + 29 + 17 + 38[/tex]

[tex]Total = 107[/tex]

The probability of obtaining quarter (Q) of penny (P) is:

[tex]P(Q\ or\ P) = P(Quarters) + P(Pennies)[/tex]

[tex]P(Q\ or\ P) = \frac{n(Quarters)}{Total} + \frac{n(Pennies)}{Total}[/tex]

Take LCM

[tex]P(Q\ or\ P) = \frac{n(Quarters) + n(Pennies)}{Total}[/tex]

[tex]P(Q\ or\ P) = \frac{23 + 38}{107}[/tex]

[tex]P(Q\ or\ P) = \frac{61}{107}[/tex]

[tex]P(Q\ or\ P) = 0.5701[/tex]

The product of 4 and a number

Answers

Answer:

4*x

Step-by-step explanation:

Answer:

4x

Step-by-step explanation:

x in this case would be the number

two angles join to form a straight line the first angle measures 100 degrees what is the measure of the second angle​

Answers

Yes good indeed so good

Use the net to find the surface area of the cylinder. 6ft and 7ft

Answers

Answer:

A. 84 pi feet^2

Step-by-step explanation:

So the lateral area is the rectangular piece on the net

In order for it to be an actual cylinder the 2 circles are congruent

Therefore the radi, area, circumference ect.. are the same.

So the only missing measurement we need to find the lateral area is the length of the rectangular piece

If you visualize a cylinder, the rectangular piece goes around the perimeter/circumference of the circle

So that means that the length of the rectangle is the circumference of the circle

Circumference = 2*pi*r

2 * pi * 6

= 12 pi

Then 7*12 pi

=84 pi

So the lateral area is 84 pi

:0

PLEASE HELP which number line represents the solution to |x-5|< 3 ?

Answers

It’s the A because it has to have open circles and the “<“ is an and

2x² + 8x²8x-32
how do find the x and y intercept?​

Answers

Answer:

Step-by-step explanation:

multiply and divide your equation then subtarct it and you get your answer

x/2-(1/4)(x-1/2)=1/6(2x+1)+1/3. x=?​

Answers

Answer:

Step-by-step explanation:

x = -4.5

the quotient of a number and 2

Answers

Answer:

what is the question?

Step-by-step explanation:

.????

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