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1. Customers arrive at a convenience store about once every 5 minutes. Find the

ID: 3338602 • Letter: 1

Question

1. Customers arrive at a convenience store about once every 5 minutes. Find the probability (a) exactly 10 customers arrive in the first hour; (b) no more than two customers arrive in the next 15 minutes; (c) at least 2 customers arrive between 1:40 and 2:00 pm. 2. A typist has a 1% chance of typing a word incorrectly. Find, to three decimal places, the probability of typing 2 or fewer words incorrectly on a page of 300 words using the (a) Binomial distribution; (b) Poisson approximation. 3. (a) Suppose X, Y are independent Geometricp) random variables. Find P2(4) where for Z-X +Y. (b) Find Pw(4) if Wm Pascal(2, p).

Explanation / Answer

We are allowed to do 1 question at a time. Post again for second question.

2) P of typing incorrectly = 0.01

A binomial experiment has the following characteristics:

a) P = 0.422 (excel has been used)

Binom.dist function

b) P = 0.42319

Poisson.dist function has been used.