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

Answer 1