# Probability - Auto for Southern State

In a southern state, it was revealed that 5% of all automobiles in the state did not pass inspection. Of the next ten automobiles entering the inspection station,

a. what is the probability that none will pass inspection?

b. what is the probability that all will pass inspection?

c. what is the probability that exactly two will not pass inspection?

d. what is the probability that more than three will not pass inspection?

e. what is the probability that fewer than two will not pass inspection?

f. Find the expected number of automobiles not passing inspection.

g. Determine the standard deviation for the number of cars not passing inspection.

https://brainmass.com/statistics/probability/probability-auto-southern-state-396307

#### Solution Summary

The expert determines what the probability that none will pass inspection in the auto industry for southern states.