(answer both parts) The Internal Revenue Service estimates that 8% of all taxpayers filling out long forms make mistakes.IRS Employee A randomly selects and checks 10 forms for mistakes. let x=the...

(answer both parts)

The Internal Revenue Service estimates that 8% of all taxpayers filling out long forms make mistakes.IRS Employee A randomly selects and checks 10 forms for mistakes. let x=the number of forms out of 10 that have a mistake.

a what probability distribution does X have? justify your answer

B what is the probability find the exact one error

C calculate and interpret the mean and standard deviation of X.

IRS employee R decides to randomly select and check completed forms for mistakes. Let Y= The number of forms she chcekcs until she finds a mistake.

d what probability distribution does Y have to JUSTIFY YOUR ANSWER

E what is the probability that the employees finds the first mistake on the 9th form?

F what is the probability that the employee has to check more than 12 forms to find a mistake