Question1

(1 point) Suppose that a roulette wheel is spun. What is the probability that a number between 12 and 24 (inclusive) comes up? (Recall that a roulette wheel has 38 numbers on it). For accuracy, either enter your answer as a fraction or round your answer toat least four decimal places.

Answer =

Question 2 Suppose that for two eventsEandF

lFwe haveP(E)=0.21

P(E)=0.21,P(F)=0.3

P(F)=0.3, andP(EandF)=0.042

P(EandF)=0.042. Then

a)P(F|E)= ________________________

(b)P(E|F)=______________________________

(c) Are the eventsEandF independent?__________________ EnterYESorNO.

Question3

A computer retail store has9

9personal computers in stock. A buyer wants to purchase2

2of them. Unknown to either the retail store or the buyer,2

2of the computers in stock have defective hard drives. Assume that the computers are selected at random.

(a)

In how many different ways can the2

2computers be chosen?

answer:_____________________

(b)

What is the probability that exactly one of the2

2computers selected will be defective (AKA we choose1

1defective computer and1

1working computers)?

answer:__________________

(c)

What is the probability that at least one of the2

2computers selected is defective?

answer:__________________________________

Question 4

IfXis a binomial random variable, computeP(X)

for each of the following cases:

(a)

n=5,X=5,p=0.5

n=5,X=5,p=0.5

P(X)=-------------------------

(b)

n=4,X=4,p=0.1

n=4,X=4,p=0.1

P(X)=----------------------------

Question 5

In Canada, voters who choose which candidate to vote for based on the candidate's stance on issues rather than their political party affiliation are called Independent voters. It is believed that 8% of voters are Independent. A survey asked 39 people to identify themselves based on whether they vote by party, or are Independent.

A. What is the probability that none of the voters surveyed are Independent?

Probability =---------------------------

B. What is the probability that less than 4 are Independent?

Probability =-----------------------------------

C. What is the probability that more than 2 are Independent?

Probability =-------------------------------

Note: Round your calculations and final answers to at least four decimal places.