Question 1

A box contains 3 $1 bills, 2 $5 bills, 1 $10 bill, and 1 $20 bill.Create a probability distribution for the outcome of drawing 1 bill from the box

A) P($1) = .43P($5) = .29P($10) = .14P($20) = .14

B) P($1) = .29P($5) = .43P($10) = .14P($20) = .14

C) P($1) = .14P($5) = .14P($10) = .28P($20) = .43

D) P($1) = .14P($5) = .29P($10) = .43P($20) = .14

Question 2

Find the expected value for the probability distribution

x P(x)

0 0.2345

1 0.3122

2 0.1227

3 0.3306

A) 1.64

B) 1.34

C) 1.75

D) 1.55

Question 3

A bag contains 24 coloured counters, three blue, four red, nine green and eight yellow. If five counters are chosen at random from the bag, what is the probability of selecting exactly 3 green and no blue counters?

A) 0.21

B) 0.13

C) 0.33

D) .66

Question 4

A deck of cards contains 30 cards: 10 red cards and 20 black cards. 7 cards are drawn randomlywithout replacement. What is the probability that exactly 5 red cards are drawn?

A)0.17

B)0.5

C)0.024

D)0.29

Question 5

A co-ed soccer team has 9 women and 7 men on its roster. 6 players play on the field at one time.

What is the probability the starting lineup will have 4 men and 2 women on it?

A)0.57

B)0.16

C)0.31

D)0.11

Question 6

A co-ed soccer team has 9 women and 7 men on its roster. 6 players play on the field at one time.

What is the probability the starting lineup will have at least 4 men on it?

A)0.18

B)0.16

C)0.54

D)0.11

Question 7

A binomial distribution has 700 trials and a probability of success of 64%. Would a normal approximation be viable for this situation?

Question 7 options:

A)yes

B) no

Question 8

A gas station has a 7% chance of running out of gas.What is the probability the gas station will run out of gas one day in the next week?

A)0.14

B)0.7

C)0.317

D)0.5

Question 9

A gas station has a 7% chance of running out of gas.What is the probability the gas station will run out of gas at least two days in the next week?

A)0.683

B)0.602

C)0.014

D)0.081

Question 10

A gas station has a 7% chance of running out of gas.What is the expected number of times the gas station will run out of gas?

A) 0.14

B) 0.49

C) 0.28

D) 0.37

Question 11

A cruise ship has a 54% chance of having leftover rooms the week before the cruise. There are 25 cruise ships setting sail this month.

Is it possible to approximate this binomial distribution using a normal approximation?

A) yes

B) no

Question 12

A cruise ship has a 54% chance of having leftover rooms the week before the cruise. There are 25 cruise ships setting sail this month.

What is the mean and the standard deviation for this approximation?

What is the mean and the standard deviation for this approximation?

A) =13.5,sd=2.5

B) =10.5,sd=6.2

C) =13.5,sd=6.2

D) =11.5,sd=2.5

Question 13

A cruise ship has a 54% chance of having leftover rooms the week before the cruise. There are 25 cruise ships setting sail this month.

What is the probability that exactly 17 cruise ships will have leftover rooms using the normalapproximation?

A)0.21

B)0.9641

C)0.0603

D)0.5

Question 14

A cruise ship has a 54% chance of having leftover rooms the week before the cruise. There are 25 cruise ships setting sail this month.

Calculate the probability that exactly 17 cruise ships will have leftover rooms using the binomial method.

A)0.061

B)0.004

C)0.97

D)0.87

Question 15

A 12-member committee for a fundraiser will be selected from a pool of 16 men and 10 women.What is the probability the committee will be equally split with men and women?

A)0.5

B)0.34

C)0.174

D)0.27

Question 16

A 12-member committee for a fundraiser will be selected from a pool of 16 men and 10 women.

What would be the expected number of men on the committee?

A)11

B)7.38

C)6.25

D)6.2

Question 17

A stag and doe has 7 Toronto Maple Leaf ticket prizes and wants to give away 3 of them randomly. There are four blue level tickets, two gold level tickets and one platinum level ticket. The tickets are mixed together in a bag, and three are drawn at random.

What is the probability none of the prizes are the platinum ticket?

A)0.14

B)0.57

C)0.28

D)0.43