Assume that you are the owner of a small business that employs two people
on a telephone help desk. Records show that one of the employees is busy
taking calls for 40% or the time and the other is busy taking calls 55% of the
time:

a) What is the probability that when a new call comes in that both of the
employees are busy on the telephone?

b) What is the probability that at least one of the employees will be
available?

Question 2

Venture capital investments tend to be risky investments with a large
proportion of investments being unsuccessful. Suppose that you are the
manager of a venture capital firm with 20 investments. Assuming that it is
known that 70% of venture capital investments will be unsuccessful, determine
the following:

a) The probability that at least 5 of your investments will be successful.

b) The probability that no more than 15 will be unsuccessful.

Question 3

Suppose that 22% of employees in Australia intend to change employers over
the next two years. A company interested in reasons for their employee
turnover randomly samples a number of their employees:

a) If the company randomly samples 20 employees, find the probability
that exactly 4 of them will leave within two years.

b) For a random sample of 20 employees, find the mean, the variance
and the standard deviation for the number of employees that intend to
change employers of the next two years.

Telephone calls arrive at the rate of 48 per Hour at the reservation Desk of Card Airways
a)Find the probability of receiving 3 calls in a 5-minute interval
b)Find the probability of receiving 10 calls in 15-minutes
c)Suppose that no calls are currently on hold. If the agent takes 5 minutes to complete processing the curren

Telephone calls are being produced through a certain exchange at random times on the average of 4 per min. Determine the probability in a 15 second interval there are 3 or more calls.

A company operates a telephone order system for a catalogue of its outdoor clothing products. The catalogue orders are processed in three stages. In the first stage, the telephone operator enters the order into the computer; in the second stage, the items are secured and batched in the warehouse; and in the final stage, the orde

Telephone calls arrive at the rate of 48 per hour at the reservation desk for the Paris Hilton. Find the probability of receiving 3 calls in five minute period.

Based upon past experience, 1% of the telephone bills mailed to households are incorrect. A sample of 20 bills is selected.
p= probability of success= 0.01 n= number of trails= 20 q= probability of failure = 0.99
a. What is the

Suppose the number of telephone calls an operator receives from 9:00 to 9:05 follows a Poisson distribution with ยต = 4.
(a) Find the probability that the operator will receive no calls in that time interval tomorrow.
(b) Find the probability that in the next 2 days the operator will receive a total of 3 calls in that time i

A market research firm conducts telephone surveys with a 40% historic response rate. What is the probability that in a new sample of 400 telephone numbers, at least 150 individuals will cooperate and respond to the questions? In other words, what is the probability that the sample proportion will be at least 150/400=.375

Through a telephone survey, a low-interest bank credit card is offered to 400 households. The responses are as tabled.
Income = $40,000 Income > $40,000
Accept offer 40 30
Reject offer 210

Based upon past experience, 1% of the telephone bills mailed to households are incorrect. A sample of 20 bills is selected.
a. Is this a valid Binomial experiment?
b. What is the mean of the probability distribution?
c. What is the standard deviation of the probability distribution?
d. What is the probability that 10 of the