Production records indicate that 2.9% of the light bulbs produced in a facility are defective. A random sample of 25 light bulbs was selected.

a. Use the binomial distribution to determine the probability that fewer than three defective bulbs are found.

b. Use the Poisson approximation to the binomial distribution to determine the probability that fewer than three defective bulbs are found.

c. How do these two probabilitiescompare?

a. The probability is

nothing

.

(Round to four decimal places asneeded.)

b. The probability is

nothing

.

(Round to four decimal places asneeded.)

c. How do these two probabilitiescompare?

A.

The two probabilities are exactly the same.

B.

The two probabilities have almost the same value.

C.

The two probabilities differ greatly.

D.

The two probabilities cannot be compared.