Reference no: EM1316845

Q1) Assume you know that number of complaints coming into phone centre averages 4.2 every ten minutes.  Suppose that number of calls follows Poisson distribution. Determine the probability that there are exactly 3 calls in the next ten minutes?

Q2) Auditor reviewing invoices of small company determines that there are errors in 1.5% of them.  If auditor looks at 500 invoices, determine the probability that he determines more than 3 invoices with errors? 

i) Which of the given is the example of a discrete random variable?

a) Distance you can drive in the car with a full tank of gas.

b) Number of cows on a cattle ranch.

c) Weight of a package at the post office.

d) Amount of rain that falls over a 24-hour period

ii) Which of the given is an example of continuous random variable?

a) The number of cars in a parking lot.

b) The number of repairs at a computer shop over the course of the week.

c) The total points scored in a basketball game.

d) The weight of a bag of potatoes.

Q3) Consider following probability distribution function. 

x	0	1	2	3	4	5	6
P(x)	0.07	0.19	0.23	0.17	0.16	0.14	0.04

i) Determine P(X > 3)?

ii) Compute P(2 < X < 5)?

c) Compute P(X  2)?

d) Compute P(X < 6)?