Question

1. Decide whether the following probability would be found using the Geometric or Poisson distribution. Explain why. a.) The probability that a student passes a test in their Probability class is .76. What is the probability that the student passes the test on the 2 try. b.) The mean number of buses on 95 south is 24. What is the probability that on 95 south there are 12 buses? c.) In any given month, the average amount of rain is 2 inches. What is the probability that in the month of January there will be 4 inches. d.) The chances that a given telemarketer makes a sale on a call is.25. What is the probability that the first call that a telemarketer makes a sale on is the 12 call. 2. For the following problems assume geometric distribution applies. Use the given probability of success p to find the indicated probability. SHOW ALL WORK a. Find P(3) when p = 0.38 b. Find P(1) when p = 0.35 c. Find P(5) when p = 40%

Answer 1

(there are more than 4 parts, as per policy i am answering first 4 parts)

poisson is used when we know average no. of events and want to found probability of x events happening

geometric is used when each trial is independent and we repeat till we get success

1.

a.

it is geometric distribution

geometric is used when each trial is independent and we repeat till we get success

b.

it is poisson distribution

poisson is used when we know average no. of events and want to found probability of x events happening

c.

it is poisson distribution

poisson is used when we know average no. of events and want to found probability of x events happening

d.

it is geometric distribution

geometric is used when each trial is independent and we repeat till we get success