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. 1. Compute the probability that 4 machines will break down.

2. Compute the probability that at least 4 machines will break down.

3. What is the expected number of machines that will break down in a day? 4. What is the variance of the number of machines that will break down in a day?

	a.	1. 0.00045 2. 0.00046 3. 0.50000 4. 0.95000
	b.	1. 0.00045 2. 0.80000 3. 0.50000 4. 0.45000
	c.	1. 0.00045 2. 0.00046 3. 0.05000 4. 0.45000
	d.	1. 0.00045 2. 0.00046 3. 0.50000 4. 0.45000