# bus stats

posted by
**Mich Mich** on
.

A manufacturing company has 5 identical machines that produce nails. The probability that a machine will break down on any given day is .1. Define a random variable X to be the number of machines that will break down in a day.

a. what is the appropriate probability distribution for X? Explain how X saisfies the properties of the distribution.

b. compute the probability that 4 machines will break down.

c. compute the probability that at least 4 machines will break down.

d. what is the expected umber of machines that will break down in a day?

e. What is the variance of the number of machines that will break down in a day?