Questions 1-5 are related to the following You own a local company that has spec

Question

Questions 1-5 are related to the following You own a local company that has special equipment for moving pianos. Your company has enough equipment to handle three pianos in a day. The number of requests to move pianos is a random variable with following distribution. x f(x) 0 0.40 1 0.40 2 0.10 3 0.1 4 0.02 5 0.02 6 0.01 1 The probability of three (3) requests to move pianos is _______. a 0.04 b 0.05 c 0.06 d 0.07 2 What is the probability that you will run out of equipment? That is, you receive three or more requests. a 0.15 b 0.10 c 0.05 d 0.03 3 The probability that some of your equipment will be idle is ______. a 0.50 b 0.80 c 0.90 d 0.95 4 What is the expected value of the number of requests? a 0.99 b 1.01 c 1.03 d 1.05 5 What is the variance of the number of requests? a 1.40 b 1.45 c 1.50 d 1.55 Questions 1-5 are related to the following You own a local company that has special equipment for moving pianos. Your company has enough equipment to handle three pianos in a day. The number of requests to move pianos is a random variable with following distribution. x f(x) 0 0.40 1 0.40 2 0.10 3 0.1 4 0.02 5 0.02 6 0.01 1 The probability of three (3) requests to move pianos is _______. a 0.04 b 0.05 c 0.06 d 0.07 2 What is the probability that you will run out of equipment? That is, you receive three or more requests. a 0.15 b 0.10 c 0.05 d 0.03 3 The probability that some of your equipment will be idle is ______. a 0.50 b 0.80 c 0.90 d 0.95 4 What is the expected value of the number of requests? a 0.99 b 1.01 c 1.03 d 1.05 5 What is the variance of the number of requests? a 1.40 b 1.45 c 1.50 d 1.55

Explanation / Answer

A) Probability= 1-0.4-0.4-0.1-0.2-0.2-0.1=0.05

B) probability= 1-0.4-0.4-0.1-0.05= 0.05

C) probability= 0.4+0.4+0.1=0.9

D) sumproduct of probability and x= 0.99

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