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Quiz: Chapter 5 Quiz Submit C This Question: 1 pt 5 of 13 (1 complete) This Quiz

ID: 3371885 • Letter: Q

Question

Quiz: Chapter 5 Quiz Submit C This Question: 1 pt 5 of 13 (1 complete) This Quiz: 13 pts poss Question Help The probability of a randomly selected adult in one country being infected with a certain virus is 0.002. In tests for the virus, blood samples from 28 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 The probability that the combined sample will test positive is Round to three decimal places as needed.) is it unlikely for such a combined sample to test positive? O A. It is not unlikely for such a combined sample to test positive, because the probability that the sample will test positive is less than or equal to than 0.05. O B. It is not unlikely for such a combined sample to test positive, because the probability that the combined sample will test positive is greater than 0.05. C. ? D ?s unlikely for such a combined sample to test positive because the probability that the combined sample will test positive is less than or qual to th an O05. lt s unlikely for such a combined sample to test positive because the probability that the combined sample wil test positive is greater than 0.05 Click to select your answerís). 11:59pm 7-2 07/22/18

Explanation / Answer

Given:

n = 28, p = 0.002, q=1-p = 1-0.002 = 0.998

Find: P( 1 or 2 or 3 or ..............28)

Calculation:

P( 1 or 2 or 3 or ..............28) = 1 - P(0)

= 1 - { 28C0 * (0.002)0 * (0.998)28

= 1 - { 28C0 * (p)0 * (q)28

= 1 - 0.945

= 0.055

Is it unlikely for such a combined to test positive ?

ANSWER: B. It is not unlikely for such a combined sample to test positive, beacuse the probability that the combined sample will test positive is greater than 0.05