116. A manufacturer of ashlight batteries wishes to control the quality of its product by rejecting any lot in which the proportion of batteries having unacceptable voltage appears to be too high. To this end, out of each large lot (10,000 batteries), 25 will be selected and tested. If at least 5 of these generate an unacceptable voltage, the entire lot will be rejected.

What is the probability that a lot will be rejected if

a. 5% of the batteries in the lot have unacceptable voltages?

b. 10% of the batteries in the lot have unacceptable voltages?

c. 20% of the batteries in the lot have unacceptable voltages?

d. What would happen to the probabilities in parts (a)—

(c) if the critical rejection number were increased from 5 to 6?