A statistical process control chart example.Samples of20parts from a metal punching process are selected every hour. Typically, 1% of the parts require rework. LetXdenote the number of parts in the sample of20that require rework. A process problem is suspected ifXexceeds its mean by more than three standard deviations.

Round your answers to four decimal places.

(a)If the percentage of parts that require rework remains at 1%, what is the probability thatXexceeds its mean by more than three standard deviations?

Probability =

Enter your answer in accordance to the item a) of the question statement

(b)If the rework percentage increases to3%, what is the probability thatXexceeds 1?

Probability =

Enter your answer in accordance to the item b) of the question statement

(c)If the rework percentage increases to3%, what is the probability thatXexceeds 1 in at least one of the nextfivehours of samples?

Probability =