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3 of 14 (13 complete) HW Score: 71 4396, 10 of 14 5.2.33-T Question Help The pro

ID: 3367816 • Letter: 3

Question

3 of 14 (13 complete) HW Score: 71 4396, 10 of 14 5.2.33-T Question Help The probability of a randomly selected adult in one country being infected with a certain virus is 0.003. In tests for the virus, blood samples from 25 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus. The probability that the combined sample will test positive is (Round to three decimal places as needed Enter your answer in the answer box and then click Check Answer Clear All remaining OK rch

Explanation / Answer

Solution:-

5.2.24-E

The probability is 0.06208.

p = 0.49

n = 10

x = 3

By applying binomial distribution

P(x,n) = nCx*px*(1-p)(n-x)

P(x < 3) = 0.06208