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V125BC [204]
3 years ago
8

Suppose you're hiring a new worker for your business. You'd like someone reliable. Suppose you use administer a test to job-seek

ers many other employers use to determine if applicants have this trait. The test is 90% senstitive and 95% specific. If 60 unreliable people apply and 20 reliable people apply, how many positive results will you have
Mathematics
1 answer:
stiks02 [169]3 years ago
5 0

Answer:

You will have 21 positive results.

Step-by-step explanation:

Sensitivity of test:

Is the true positive rate, that is, the proportion of positive results that give positive tests.

Specificity of test:

True negative rate, that is, the proportion of negative results that give negative tests.

90% sensitive, 20 reliable people apply

0.9*20 = 18

95% specific, 60 unreliable people apply

1 - 0.95 = 0.05 of positive results.

0.05*60 = 3

How many positive results will you have?

18 + 3 = 21

You will have 21 positive results.

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As you can tell P(X ≥ 1) as we have to solve for the probability that at least one car will get punctured. That is of course 1 - [ P(X = 0) ].

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