Guidance Missile SystemA missile guidance system has four fail-safe components. The probability of each failing is

0.2

.Assume the variable isbinomial.Find the followingprobabilities.Do not round intermediate values. Round the final answer to three decimal places.

Part 1 of 4

(a)Exactly two will fail.

P

(exactly two will fail)=

myanswer0.246

Part 2 of 4

(b)More than two will fail.

P

(more than two will fail)=

myanswer0.099

Part 3 of 4

(c)All will fail.

P

(all will fail)=

Part:3 / 4

3 of 4 Parts Complete

Part 4 of 4

(d)Compare the answers for parts a, b, and c, and explain why these results are reasonable.

Since the probability of each event becomes less likely, the probabilities become

smaller

.