1. Determine the mean and standard deviation of the variable X

in each of the following binomial distributions:

a. n = 4 and = 0.40

2. you and two friends decided to go to Wendy's. Now, suppose that

instead, you go to Burger King, which recently filled approximately

90.9% of orders correctly. What is the probability that

a. all three orders will be filled correctly?

3. you and two friends decided to go to Wendy's. Now, suppose that instead you go to

McDonald's, which recently filled approximately 92.9% of the orders correctly.

What is the probability that

a. all three orders will be filled correctly?

4. Toll-free phone number is available from 9 A.M. to 9 P.M.

for your customers to register complaints about a product purchased

from your company. Past history indicates that a mean of 0.8 calls

is received per minute.

a. What properties must be true about the situation described here

in order to use the Poisson distribution to calculate probabilities

concerning the number of phone calls received in a one-minute

period?

Assuming that this situation matches the properties discussed in (a),

what is the probability that during a one-minute period

a. zero phone calls will be received?

b. three or more phone calls will be received?

c. What is the maximum number of phone calls that will be

received in a one-minute period 99.99% of the time?