A machine produces a defective item 6 % of the time.A customer purchases a box of 40of these items.

a) Find the probability that the box containsexactly3 defective items.

Theprobabilityis ?

Blank 1. Fill in the blank, read surrounding text.

.Give the probability as adecimal. If rounding, give to 4 decimal places.

b) Find the probability that the box containsat least5 defective items.

Theprobabilityis ?

Blank 2. Fill in the blank, read surrounding text.

.Give the probability as adecimal. If rounding, give to 4 decimal places.

Let the random variable X be the number of defective items in the box.

Find the mean and standard deviation of the random variable.

Mean =

Blank 3. Fill in the blank, read surrounding text.

Give your answer as a decimal. Do NOT round your answer.

Standard Deviation =

Blank 4. Fill in the blank, read surrounding text.

Give your answer as a decimal to 2 decimal places.