A manufacturer of integrated circuit chips wishes to controlthe quality of its product by rejecting any batch inwhich the proportion of defective chips is too high. Tothis end, out of each batch (10,000 chips), 25 will beselected and tested. If at least 5 of these 25 are defective,the entire batch will be rejected.a. What is the probability that a batch will be rejectedif 5% of the chips in the batch are in fact defective?b. Answer the question posed in (a) if the percentage ofdefective chips in the batch is 10%.c. Answer the question posed in (a) if the percentage ofdefective chips in the batch is 20%.d. What happens to the probabilities in (a)–(c) if thecritical rejection number is increased from 5 to 6?
A manufacturer of integrated circuit chips wishes to control
the quality of its product by rejecting any batch in
which the proportion of defective chips is too high. To
this end, out of each batch (10,000 chips), 25 will be
selected and tested. If at least 5 of these 25 are defective,
the entire batch will be rejected.
a. What is the probability that a batch will be rejected
if 5% of the chips in the batch are in fact defective?
b. Answer the question posed in (a) if the percentage of
defective chips in the batch is 10%.
c. Answer the question posed in (a) if the percentage of
defective chips in the batch is 20%.
d. What happens to the probabilities in (a)–(c) if the
critical rejection number is increased from 5 to 6?
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