# Cameron University Find the Discrete Probability Distribution Statistics Questions

4/5/22, 12:34 PMTest #2 Review

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Joao Guilherme Guercheski Duleba

Question 1

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2

The time it takes me to wash the dishes is uniformly distributed between 9 minutes and 15 minutes.

What is the probability that washing dishes tonight will take me between 11 and 14 minutes?

Give your answer accurate to two decimal places.

Question 2

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Match each graph with its equation.

( x − 35 )

–

e

−

2

2 ⋅ 32

√2π ⋅ 3

–

e

−

( x − 40 )

2

2 ⋅ 42

a.

√2π ⋅ 4

–

e

−

( x − 35 )

2

2 ⋅ 22

30 32 34 36 38 40

√2π ⋅ 2

b.

28 32 36 40 44 48 52

c.

27 30 33 36 39 42

Question 3

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The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 117 and

standard deviation of 17 .

Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.

a. Around what percentage of adults in the USA have stage 2 high blood pressure? Give your answer

rounded to two decimal places.

%

b. If you sampled 2000 people, how many would you expect to have BP> 160? Give your answer to the

nearest person. Note: I had a bit of an issue encoding rounded answers, so try rounding both up and

down if there’s an issue!

people

c. Stage 1 high BP is specified as systolic BP between 140 and 160. What percentage of adults in the US

qualify for stage 1?

%

d. Your doctor tells you you are in the 30th percentile for blood pressure among US adults. What is your

systolic BP? Round to 2 decimal places.

lbs

Question 4

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Find the z-score for the given shaded region under the standard normal distribution. Round your answer

to two decimal places.

Shaded Area = 0.46

-4

-3

-2

-1

0

z

1

2

3

4

z-score =

Question 5

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2

Adult female height is normally distributed with a mean of 65 inches and a standard deviation of 2.29

inches. If an adult female is randomly selected, what is the probability that the adult female has a

height less than 69.9 inches? Round your final answer to four decimal places.

Question 6

A baseball player has a batting average of

0.290

What is the probability that he has exactly

2

0/1 pt

2

0/1 pt

2

.

hit(s) in his next

7

at bats?

Express your answer as a decimal to at least 4 decimal places.

Question 7

When dragons on planet Dathomir lay eggs, the eggs are either green or yellow. The biologists have

observed over the years that 30% of the eggs are yellow, and the rest green. Next spring, the lead

scientist has permission to randomly select 47 of the dragon eggs to incubate. Consider all the possible

samples of 47 dragon eggs.

What is the mean (μ) number of yellow eggs in samples of 47 eggs?

μ

=

(Please show your answer to 1 decimal place)

What is the standard deviation (σ) in the number of yellow eggs in samples of size 47?

σ

=

(Please show your answer to 1 decimal place)

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Question 8

0/1 pt

2

Assume Binomial Distribution with n = 12 and p = 0.3. Please show your answers to 4 decimal places.

P(X

=

5) =

P(X

≤

5) =

P(X

<
5) =
P(X
>

5) =

P(X

≥

5) =

Question 9

0/1 pt

2

A court stenographer makes nine typographical errors per hour on average. Find the probability that

(a) The stenographer makes exactly eleven typographical errors during an hour long court case.

(b) The stenographer makes no more than fourteen typographical errors during an hour long court case.

(c) The stenographer makes twenty-one or more typographical errors during an hour long court case.

Round all answers to four decimal places.

Question 10

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2

A bag contains 6 Cherry Starbursts and 24 other flavored Starburts. 10 Starbursts are chosen randomly

without replacement.

Find the probability that 1 of the Starbursts drawn are cherry.

Question 11

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42 percent of young adult males play video games. 35 percent of young adult males have a full-time

job. 49 percent of young adult males that play video games also have a full-time job. Give your answers

as a decimal to 4 decimal places.

(a) What percent of young adult males play video games and have a full-time job?

(b) What percent of young adult males play video games or have a full-time job?

Question 12

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2

Round all answers to 4 decimal places.

a. A bag contains 8 blue marbles, 7 red marbles, and 4 black marbles. If a marble is drawn from the

bag, replaced, and another marble is drawn, what is the probability of drawing first a blue marble and

then a black marble?

b. A bag contains 7 white marbles, 4 black marbles, and 8 red marbles. If two different marbles

are drawn from the bag , what is the probability of drawing first a white marble and then a red

marble?

Question 13

0/1 pt

Suppose events A and B are independent. If

Answer =

P (A ∩ B)

=0.1845 and

P (A) =

0.41, what is

P (B) =

2

?

(Round your answer to 3 decimal places.)

Question 14

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2

39.4% of US homes continue to use a landline in addition to cell phone service. 7 US homes are randomly

selected. What is the probability that at least one of the 7 continues to use a landline? Round your

answer to 4 decimal places.

Question 15

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The probabilities of events

P (A) = 0.26

A

and

B

respectively are given below.

P (B) = 0.50

Do not round answers.

1. If

A

and

B

are independent events, then

a)

P (A and B) =

b)

P (A or B) =

c)

P (A ∣ B) =

d)

¯

¯

¯

P (B and A ) =

e)

¯

¯

¯

¯

¯

¯

P (A and B ) =

2. If

A

and

B

are mutually exclusive events, then

a)

P (A and B) =

b)

P (A or B) =

c)

P (B ∣ A) =

d)

¯

¯

¯

P (A and B) =

e)

¯

¯

¯

¯

¯

¯

P (A and B ) =

Question 16

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A local bakary has determined a probability distribution for the number of cheesecakes that they sell in

a given day.

X= #sold

0

5

10

Probability 0.11 0.15 0.01

15

20

…?

0.09

What is the probability of selling 15 cheesecakes in a given day?

What is the probability of selling at least 10 cheesecakes?

What is the probability of selling 5 or 15 chassescakes?

What is the probability of selling 25 cheesecakes?

What is the probability of selling at most 10 cheesecakes?

Give the expected number of cheesecakes sold in a day using the discrete probability distribution?

Question 17

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2

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2

Giving a test to a group of students, the grades and gender are summarized below

Male

Female

Total

A

20

14

34

B

11

4

15

C

19

10

29

Total

50

28

78

If one student is chosen at random,

Find the probability that the student did NOT get an “A”

Question 18

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A card is drawn randomly from a standard 52-card deck. Find the probability of the given event.

(a) The card drawn is 10

The probability is :

(b) The card drawn is a face card (Jack, Queen, or King)

The probability is :

(c) The card drawn is not a face card.

The probability is :

Question 19

If the probability of an event is

74

0/1 pt

2

0/1 pt

2

, what is the probability of the event not happening?

87

Write your answer as a simplified fraction.

Question 20

Giving a test to a group of students, the grades and gender are summarized below

Male

Female

Total

A

14

20

34

B

7

13

20

C

15

16

31

Total

36

49

85

If one student is chosen at random,

Find the probability that the student was male OR got a(n) “B”. (Please enter a reduced fraction.)

Question 21

0/1 pt

2

A poker hand consisting of 8 cards is dealt from a standard deck of 52 cards. Find the probability that

the hand contains exactly 3 face cards.

The probability is

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