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Question1)Suppose a random variable, x, arises from a binomial experiment

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Question1)Suppose a random variable, x, arises from a binomial experiment. If n = 25, and p = 0.85 , find the P(X = 15) using Excel. Round answer to 4 decimal places.

 

 

 

Question 2

It is known that 50% of adult workers have a high school diploma. If a random sample of

6 adult workers is selected, what is the probability that 3 or more of them have a high school diploma?

(That is, find P(X  3) (keep 4 decimal places)

Question 3

It is known that 40% of adult workers have a high school diploma. If a random sample of 10 adult workers is selected, what is the expected number of adult workers with a high school diploma? (That is, what is E(X)?) (Do not round answer)

Question 4

 

Approximately 10% of all people are left-handed. If 200 people are randomly selected, what is the expected number of left-handed people? Question 5 variable, x, arises from a binomial experiment. If n = 14, and p = 0.13 ,
Question 6

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

The table of data obtained from WWW.BASEBALL-ALMANAC.COM shows hit information for four well known baseball players. Suppose that one hit from the table is randomly selected.

 

NAME

Run

Home

Triple

Double

Single

HITS

TOTAL

Babe

Ruth

1,517

506

136

714

2,873

Jackie

Robinson

1,054

273

54

137

1,518

Ty

Cobb

3,603

174

295

114

4,189

Hank

Aaron

2,294

624

98

755

3,771

TOTALS

8,468

1,577

583

1,720

12,351

•

 

Find P(hit was made by Hank Arron|The hit was a Single).

 

Question 7

In a box there are 3 red cards and 5 blue cards. The cards are well-shuffled. If you pick a

card without looking at the box, what is the probability that you pick a red card? (keep 3 decimal places)

 

Question 8

The number of M&M’s for each color found in a case were recorded in the table below.

Blue = 481, Brown = 371, Green = 483, Orange = 544, Red = 372, Yellow = 369

Total = 2620

What is the probability of selecting a red M&M? Round answer to 4 decimal places.

Question 9

Find the probability of rolling a sum of two dice that is a 7 or a 12. Round answer to 4 decimal places.

 

Question 10 Let X be the number of courses taken by a part-time student at a college. The

following table shows the probability distribution of X with probability as a percentage.

Number of Courses , x	1	2	3
Probability, P(X=x)	55%	28%	17 %

What is the probability that a randomly selected part-time student at this college takes at least 2 courses? (That is, find P(X ≥ 2)

Question 11

Does the following table represent a valid discrete probability distribution? 1.0/ 1.0 Points

x	1	2	3	4	5
P(X=x)	0.16	0.01	0.25	0.11	0.66

Question 12

Is the following table a valid discrete probability distribution?   1.0/ 1.0 Points

x	-5	-2.5	0	2.5	5
P(X=x)	0.15	0.25	0.32	0.18	0.1

Question 13

Does the following table represent a valid discrete probability distribution? 1.0/ 1.0 Points

x	-5	-2.5	0	2.5	5
P(X=x)	0.05	0.25	0.32	0.18	0.2

 

Question 14

A bank gets an average of 11 customers per hour. Assume the variable follows a Poisson distribution. Find the probability that there will be 9 or more customers at this bank in one hour. (That is, find P(X≥9)) (keep 4 decimal places)

Question 15

A coffee shop serves an average of 72 customers per hour during the morning rush. Find the probability that less than 59 customers arrive in an hour during tomorrow’s morning rush. Round answer to 4 decimal places.

Question 16

There are 6.5 accidents, on average, at an intersection. Assume the variable follows a          Poisson distribution. Find the probability that there will be 9 or less accidents at this intersection. ( That is, find P(X≤9) (keep 4 decimal places)

Question 17

The mean number of visitors at a national park in one weekend is 47. Assume the variable follows a Poisson distribution. Find the probability that there will be at most 55 visitors at this park in one weekend. (That is, find P(X≤55)) (keep 4 decimal places)

Question 18

A coffee shop serves an average of 75 customers per hour during the morning rush. Find the probability that 80 customers arrive in an hour during tomorrow’s morning rush. Round answer to 4 decimal places.

Question 19 A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange.

Let B = the event of getting a blue jelly bean Let G = the event of getting a green jelly bean.

Let O = the event of getting an orange jelly bean.

Let P = the event of getting a purple jelly bean.

Let R = the event of getting a red jelly bean.

Let Y = the event of getting a yellow jelly bean.

Find P(R)

Question 20

If two events are independent, what is the probability that they both occur?   1.0/ 1.0 Points