1. A piece of electronic equipment containssevencomputer chips, two of which are defective. Three computer chips are randomly chosen for inspection, and the number of defective chips is recorded. Find the probability distribution forx, the number of defective computer chips. (Round your answers to three decimal places.)

p(0)=

p(1)=

p(2)=

2.In southern California, a growing number of persons pursuing a teaching credential are choosing paid internships over traditional student teaching programs. A group oftwelvecandidates for three teaching positions consisted ofeightpaid interns andfourtraditional student teachers. Assume that alltwelvecandidates are equally qualified for the three positions, and thatxrepresents the number of paid interns who are hired.

(a) Doesxhave a binomial distribution or a hypergeometric distribution? Support your answer. (Round your answer to four decimal places.)

1) binomial 2)hypergeometric

(b) Find the probability that three paid interns are hired for these positions. (Round your answer to four decimal places.)

c) What is the probability that none of the three hired was a paid intern? (Round your answer to four decimal places.)

d) FindP(x1).

3. Letxhave a uniform distribution on the interval 0 to 10. Find the probability.

P(6<x<9)

4. Letxhave an exponential distribution with = 1.Find the probability. (Round your answer to four decimal places.)

P(x>2)

5. You arrive at a bus stop to wait for a bus that comes by once every 30 minutes. You don't know what time the last bus came by. The timexthat you wait before the bus arrives is uniformly distributed on the interval from 0 to30 minutes.(Round your answers to four decimal places.)

(a) What is the probability that you will have to wait longer than17minutes?

(b) What is the probability that you will have to wait less than13minutes?

(C) What is the probability that you will wait between10and23minutes?

6. The length of life (in days) of an alkaline battery has an exponential distribution with an average life of 1 year, so that =1/365(Round your answers to four decimal places.)

1. What is the probability that an alkaline battery will fail before170days?
2. What is the probability that an alkaline battery will last beyond 2 years?
3. If a device requires two batteries, what is the probability that both batteries last beyond 2 years?

7. Letzbe a standard normal random variable with mean= 0and standard deviation= 1.UseTable 3in Appendix I to find the probability. (Round your answer to four decimal places.) USE SALT

P(z<1) = ?

You may need to use the appropriateappendix tableto answer this question.

8. Letzbe a standard normal random variable with mean= 0and standard deviation= 1.UseTable 3in Appendix I to find the probability. (Round your answer to four decimal places.) USE SALT

P(z>6) =?

You may need to use the appropriateappendix tableto answer this question.

9. Letzbe a standard normal random variable with mean= 0and standard deviation= 1.UseTable 3in Appendix I to find the probability. (Round your answer to four decimal places.)

to the left of1.7 (USE SALT)

You may need to use the appropriateappendix tableto answer this question.

10. Letzbe a standard normal random variable with mean= 0and standard deviation= 1.UseTable 3in Appendix I to find the probability. (Round your answer to four decimal places.) between1.45and0.63 (USE SALT)

You may need to use the appropriateappendix tableto answer this question.

11. Find the probability. (Round your answer to four decimal places.)