At a certain clinic, 2 percent of all pap smears show signs of abnormality. (a) What is the expected number of pap smears that m

Question

Finger [1]

3 years ago

10

At a certain clinic, 2 percent of all pap smears show signs of abnormality. (a) What is the expected number of pap smears that m

ust be inspected before the first abnormal one is found? Expected number of pap smears

Mathematics

1 answer:

eimsori [14] · Answer 1 · 2022-05-12T13:45:07+03:00

Answer:

The expected amount of pap smears that must be inspected before the first abnormal one is found is 50

Step-by-step explanation:

If 2 percent of all pap smears show signs of abnormality, then the probability that a pap smear is abnormal is 0.02.

Let X be the amount of pap smears needed before the first abnormal case is found. X has geometric ditribution with parameter p = 0.02. The mean of X, in other words, the expected amount of cases that must be inspected before the first abnormal one appears, is 1/p = 1/0.02 = 50.