1)

Assume thatXis a binomial random variable withn= 8 andp= 0.69. Calculate the following probabilities.(Round your final answers to4 decimal places.)

a.P(X= 7)=

b.P(X= 6)=

c.P(X 6)=

2)

At a local community college, 60% of students who enter the college as freshmen go on to graduate.Eight freshmen are randomly selected.

a.What is the probability that none of them graduates from the local community college?(Round your final answer to 4 decimal places.)

Probability=

b.What is the probability that at most seven will graduate from the local community college?(Round your final answer to 4 decimal places.)

Probability=

c.What is the expected number that will graduate?(Round your final answer to the nearest whole number.)

Expected number=

3)

Assume thatXis a Poisson random variable with= 5. Calculate the following probabilities.(Round your final answers to 4 decimal places.)

a.P(X =5)=

b.P(X =4)=

c.P(X 1)=

4)

A textile manufacturing process finds that on average, five flaws occur per every 90 yards of material produced.

a.What is the probability of exactly one flaws in a 90-yard piece of material?(Round your final answer to 4 decimal places.)

Probability=

b.What is the probability of no more than two flaws in a 90-yard piece of material?(Round your final answer to 4 decimal places.)

Probability=

c.What is the probability of no flaws in a 72-yard piece of material?(Round your final answer to 4 decimal places.)

Probability=