You may need to use the appropriateappendix tableortechnologyto answer this question.

In a southern state, it was revealed that4% of all automobiles in the state did not pass inspection.(

a)Of the next ten automobiles entering the inspection station, what is the probability that none will pass inspection?

(b)Of the next ten automobiles entering the inspection station, what is the probability that all will pass inspection?

(c)Of the next ten automobiles entering the inspection station, what is the probability that exactly two will not pass inspection?

(d)Of the next ten automobiles entering the inspection station, what is the probability that more than three will not pass inspection?

(e)Of the next ten automobiles entering the inspection station, what is the probability that fewer than two will not pass inspection?

(f)Of the next ten automobiles entering the inspection station, find the expected number of automobiles not passing inspection.

(g)Of the next ten automobiles entering the inspection station, determine the standard deviation for the number of cars not passing inspection. (Round your answer to four decimal places.)