Statistics Probability

A survey of a freshmen English class asked students whether or not they ate breakfast the morning of the survey. The results are included in the table to the right.

(a) What is the probability that a randomly selected student ate breakfast?

(b) Of all students, what is the probability that a randomly selected student is female and ate breakfast?

(c) What is the probability a randomly selected student is male, given that the student ate breakfast?

(d) What is the probability that a randomly selected student ate breakfast, given that the student is male?

(e) What is probability of "is male" or "did not eat breakfast"?

(f) What is the probability of "is male and did not eat breakfast?

Statistics Probability A Survey Of A Freshmen English Class Asked Students Whether Or Not They Ate Breakfast

Answers

Answer 1

Answer:

Explained below.

Step-by-step explanation:

Denote the variable as follows:

M = male student

F = female student

Y = ate breakfast

N = did not ate breakfast

(a)

Compute the probability that a randomly selected student ate breakfast as follows:

[tex]P(Y)=\frac{n(Y)}{N}\\\\=\frac{198}{330}\\\\=0.60[/tex]

(b)

Compute the probability that a randomly selected student is female and ate breakfast as follows:

[tex]P(F\cap Y)=\frac{n(F\cap Y)}{N}\\\\=\frac{121}{330}\\\\=0.367[/tex]

(c)

Compute the probability a randomly selected student is male, given that the student ate breakfast as follows:

[tex]P(M|Y)=\frac{n(M\cap Y)}{n(Y)}\\\\=\frac{77}{198}\\\\=0.389[/tex]

(d)

Compute the probability that a randomly selected student ate breakfast, given that the student is male as follows:

[tex]P(Y|M)=\frac{n(Y\cap M)}{n(M)}\\\\=\frac{77}{154}\\\\=0.50[/tex]

(e)

Compute probability of the student selected "is male" or "did not eat breakfast" as follows:

[tex]P(M\cup N)=P(M)+P(N)-P(M\cap N)\\\\=\frac{n(M)}{N}+\frac{n(N)}{N}-\frac{n(M\cap N)}{N}\\\\=\frac{n(M)-n(N)-n(M\cap N)}{N}\\\\=\frac{154+132-77}{330}\\\\=0.633[/tex]

(f)

Compute the probability of "is male and did not eat breakfast as follows:

[tex]P(M\cap N)=\frac{n(M\cap N)}{N}\\\\=\frac{77}{330}\\\\=0.233[/tex]


Related Questions

what’s the percent decrease from 90 to 70 in sales

Answers

Answer:

22%

Step-by-step explanation:

So First we subtract 90 and 70 = 20

Then we divide 20 by 90 = which gives us approximately 0.22 then we turn that into a percent by moving the decimal point 2x to the right.

So In conclusion, the percent decrease is 22%

Remember the formula is:

amount of change ÷ by the original amount

Kaniyah is making ribbons do school spirit day. Her roll of ribbon is 32 ft. long. For each individual ribbon, she needs 0.64 ft. How many ribbons can she make from her roll?

Answers

Answer 50 is the answer have a good day

Answer:

50 ribbons

Step-by-step explanation:

To find how many ribbons she can make, divide 32 by 0.64:

32/0.64

= 50

So, she can make 50 ribbons from her roll

what is the answer or solution-15-3p=6

Answers

Answer:

P = - 7

Step-by-step explanation:

To solve we must put all the literals (letters) on one side of the operation and all the free numbers on the other. To do this we are going to do the same operations on both sides of the equal sign

- 15 - 3p = 6

So, we are going to add 15 on both sides

- 15 - 3p + 15 = 6 + 15

- 3p = 21

We are goint to divide everything by -3

-3p/-3 = 21/-3

It result:

p = -7

We check as follows:

We are going to replace the unknown (p) by the value we gave it already (-7)

-15 - 3(-7) = 6

-3 × -7 = +21

-15 + 21 = 6

6 = 6

we have the correct result

PLEASE HELP THE INFO IS IN THE PICTURE

Answers

Answer:

(g-h)(x) = -x^3 - 4x - 2, so the answer is D.

Step-by-step explanation:

(g - h) = -x^3 - 2 - 4x

(g-h)(x) = -x^3 - 4x - 2

Please hlep me l would appreciate it so much l mom going to give me whopping please hlep me am scared

Answers

Answer:

I think it's the first one

Step-by-step explanation:

Which of the following are the Multiples of 6? *
O 1,2,3,6
O 1,2,4,6
O 6, 12, 18, 24
0 2,4,6,8

Answers

Answer:

it is b

Step-by-step explanation:

C) 6, 12, 18, 24 is the answer

23.]
You want to buy a $
\
200,000 home. You plan to pay 10% as a down payment, and
take out a 30 year loan for the rest.

Answers

Answer:

After putting the 10% down or $20,000, you will need a loan for $180,000. What interest rate do you have for the 30 years?

Sorry my brain is fried...



Help me?




its 1:12 am please help me.... please answer all 4 please

Answers

Answer:

1:D,2

2:B:She found that -3(9) is positive

3:D:Evaluated -2^2 as -4

4:Confused, is there supposed to be supplemental info?

Step-by-step explanation:

Answer:

hey.. hi.. emme.. is this morning??? if it is GOOD MORNING ☺️

solve for the proportion (type integer or simplified fraction)​

Answers

Answer:

b = [tex]\frac{7}{5}[/tex] = 1.4

Step-by-step explanation:

[tex]\frac{2b - 3 }{5}[/tex] = [tex]\frac{b - 2}{15}[/tex]

15(2b - 3) = 5(b - 2)

30b - 45 = 5b - 10

25b = 35

5b = 7

b = [tex]\frac{7}{5}[/tex] = 1.4

Check the answer:

[tex]\frac{2(1.4)-3}{5}[/tex] = [tex]\frac{1.4-2}{15}[/tex]

- [tex]\frac{0.2}{5}[/tex] = - [tex]\frac{0.6}{15}[/tex]

- 0.04 = - 0.04

What’s the answer because I don’t know it!??

Answers

Answer: I think it is 1- x = 2, 2 times 2 times 2 times 2 = 16

Step-by-step explanation:

Answer

2^5=32

8²=64

2^4=16

hope this helps!

Item 11 A store sells 2 printers for every 5 computers. The store sells 40 computers. How many printers does the store sell?

Answers

It’s 16 cause 8x2=16

Answer:

16

Step-by-step explanation:

Multiply 8x2 and then you will get 16.

The 17th term of an Arithmetic sequence is 51. If the commons difference is 7, what is the first term ?

Answers

Answer:

The first term is:

[tex]a_1=-61[/tex]

Step-by-step explanation:

The arithmetic sequence is defined by

[tex]a_n=a_1+\left(n-1\right)d[/tex]

where

[tex]a_1[/tex] is the first term

[tex]d[/tex] is the common difference

as

the 17th term of an arithmetic sequence is 51.

i.e. [tex]a_{17}=51[/tex]

so

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]a_{17}=a_1+\left(17-1\right)d[/tex]        

[tex]51=a_1+\left(17-1\right)7[/tex]         ∵ [tex]n = 17[/tex], [tex]a_{17}=51[/tex] , [tex]d=7[/tex]

[tex]a_1+112=51[/tex]                   ∵ [tex]\left(17-1\right)\cdot \:\:7=112[/tex]

[tex]a_1=-61[/tex]

Therefore, the first term is:

[tex]a_1=-61[/tex]

Anyone know this problem

Answers

Answer:

38 degrees

Step-by-step explanation:

Alternate Exterior Angles Theorem

What are the zeros of this function

Answers

There is no picture attached, but zeroes mean x values.

Please help me what is the increasing interval more than one answer

Answers

Answer: First and second

Step-by-step explanation: I took the test and aced it so i hope this helped!

can you find the slope from (4,5) (9,11)

(please asap)

Answers

Answer:

Step-by-step explanation:

The slope of (4,5)(9,11) is 6/5

Answer:

5/6 or 1 1/5 and pls read explanation

Step-by-step explanation:

ok so the diff between (x,y) and (x,y) is here:

the diff between x and x (4 and 9) is +5. the diff between y and y (5 and 11) is +6.  you take the reciprocal of 5/6 and that is 6/5 or 1 1/5

can i get some help on this please​

Answers

Answer:

D

Step-by-step explanation:

This is the only case where only a simple a addition must be made.

if y(x)=4x what is x when y(x)=4?​

Answers

Answer:

1

Step-by-step explanation:

y(x)=4x

y(x)=4

<=>4x=4

<=>x=1

Refer to the table and exercise 11 suppose in the sixth grade 3/4 of the students want a career in either teaching or STEM how many six grade students did not choose a career in teaching or stem

Answers

Answer: where is the table?

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Barton building supplies sword 44 tons of gravel on Saturday and 80 tons of gravel on Sunday. Which amount is closest to the percent increase of gravel from Saturday to Sunday?

Answers

Answer:

I think its 128

Step-by-step explanation:

Can someone explain this and help

Answers

Answer:

x = 43

Step-by-step explanation:

since the line is parallel, there are a few relationships that goes on in between the parallel lines with the angles formed by the third line (the third line is known as a transversal)

the two angles shown are same side interior angles because they are on the same side of the transversal and on the inside of the parallel lines

same side interior angles always add up to 180 since, if you put them together, they would form a straight angle

so we can set the equation to x + 27 + x + 67 = 180

add like terms: 2x + 94 = 180

subtract 94 from 180: 2x = 86

divide both sides by 2: x = 43

what is the scale factor from figure a to figure b?​

Answers

Answer:

4

Step-by-step explanation:

Top side: 10x _ = 40

Left side: 18x _ = 40

Right side: 11x _ =44

All the blanks can be answered with 4. Therefore, your answer is 4.

Hope this helps!

-AxekickNebulite

The Key Club is having a fundraising dinner for charity. The venue that holds a maximum of 500 people will
cost $1000 and it costs $20 per person for the food. The two charity representatives get to attend for free.
Write an inequality and then determine how many people must come to keep costs at most $25 per person.

Answers

Answer:

[tex]\dfrac{\$1000+\$20x}{x} \leq \$25[/tex]

Minimum 200 people other than the 2 charity representatives.

Step-by-step explanation:

Given that:

The venue can hold a maximum of 500 people.

Cost of venue = $1000

Per person cost for food = $20

Two charity representatives get to attend the dinner for free.

To find:

The inequality and to determine how many people must come to keep costs at most $25.

Solution:

Let the number of people attending the dinner = [tex]x[/tex]

Cost of food for [tex]x[/tex] people = [tex]\$20x[/tex]

Total cost = $1000 + [tex]\$20x[/tex]

Cost per person = Total cost divided by Number of people attending the dinner.

As per question statement:

[tex]\dfrac{\$1000+\$20x}{x} \leq \$25\\\Rightarrow 1000+20x\leq25x\\\Rightarrow 1000 \leq 5x\\\Rightarrow x\geq 200[/tex]

Therefore, the answer is:

Minimum 200 people other than the 2 charity representatives should attend the dinner.

A meat distributor paid $2.75 per pound for hamburger and $4.50 per pound for ground sirloin. How many pounds of each did he use to make 75 pounds of meat mixture that will cost $3.24 per pound?

Answers

Answer:

The number of pounds of hamburger meat = x = 54 pounds.

The number of pounds of ground sirloin = y = 21 pounds

Step-by-step explanation:

Let the number of pounds of hamburger meat = x

the number of pounds of ground sirloin = y

How many pounds of each did he use to make 75 pounds of meat mixture that will cost $3.24 per pound?

x + y = 75...... Equation 1

x = 75 - y

A meat distributor paid $2.75 per pound for hamburger and $4.50 per pound for ground sirloin.

$2.75 × x + $4.50 × y = 75 × $3.24

2.75x + 4.50y = 243

We substitute 75 - y for x

Hence,

2.75(75 - y) + 4.5y = 243

206.25 - 2.75y + 4.5 y = 243

Collect like terms

- 2.75y + 4.5 y = 243 - 206.25

1.75y = 36.75

y = 36.75/1.75

y = 21 pounds

Note

x = 75 - y

x = 75 - 21

x = 54 pounds

Therefore:

The number of pounds of hamburger meat = x = 54 pounds.

The number of pounds of ground sirloin = y = 21 pounds

(
1
×
10
6
)

(
9
×102)

Answers

Answer:

-812

Step-by-step explanation:

(1×106)-(9×102)

106-918

-812

Need help please due pretty soon

Answers

Answer:

Im going to have to say 8

Step-by-step explanation:

I hope this helps you !

Answer:

B

Step-by-step explanation:

A number added to 12 and then subtracted by 18 equals 26. what is the number?

Answers

Answer:

it would be 32. you would take your 26 and add 18 then subtract the 12.

Step-by-step explanation:

hope this helps

Answer:

32

Step-by-step explanation:

x+12-18=26

Subtract the numbers 12 and 18

x-6=26

Add 6 to both sides of the equation

x-6+6=26+6

Simplify- Add the numbers thus getting x=32

Please help with the question below in the picture

Answers

Answer:

10.5 cm or 1.5 cm

Step-by-step explanation:

Case 1

O in between A and B

OA = 12 cm, OB = 9 cm

Distance between midpoints:

12/2 + 9/2 = 10.5 cm

Case 2

B in between O and A

OA = 12 cm, OB = 9 cm

Distance between midpoints:

12/2 - 9/2 = 1.5 cm

i need help please can someone help

Answers

Answer:

1000, 0, 0, 1.

Step-by-step explanation:

MARK ME BRAINLIEST.

You can deliver 261
newspapers in 3 hours. How
many newspapers can you
deliver in 8 hours?

Answers

Answer:

261÷3=87

87×8=696

Step-by-step explanation:

Answer:

696 in 8 hours

Step-by-step explanation:

You would start by dividing 261 by three to see how many you can deliver in just one hour, which would be 87 newspapers. Then you would times your solution by 8, which is the hours, and you would get 696 newspapers. :)

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