Quiz: Chapter 5 Quiz This Question: 2 pts Submit Q 1 of 10 This Quiz: 21 pts pos

Question

Quiz: Chapter 5 Quiz This Question: 2 pts Submit Q 1 of 10 This Quiz: 21 pts poss Question Help Te Atest to determine whether a oertain antbody is present is 99.7% offective. This (nhetest subject) 997% of te nme The probablity of a test orting back given to five randomly selected people who do not have the andbody (a) What is the probability that the test oomes back negative for all five people? tb) What is the probability that the test comes back positive for at least one of the Sive people? means Phat the test will accurately come back negative if the antibody is not present positve when he antbody is not presen (afbo po ive) is OOOISEee the est es a) Ptal S tosts are negative)-(Ro nd to four decimal places as needed) Plat least one positve)(Round to four decimal places as neoded Enter your answer in each of the answer boxes Save for Later Chapter 10 Qui 05/02/18 11:59pm 0 of 05/0918Chapter 11 Quiz 11:58pm O of 5/23/18 Chapter 12 Quiz

Explanation / Answer

Solution:- Given that p = 0.997, q = 0.003 , n = 5

a) P(all 5 test are negative) = 0.9851
=> P(X = 5) = 5C5*0.997^5*0.003^0 = 0.9851

b) P(at least one positive) = 1 - P(all 5 test are negative)
= 1 - 0.9851
= 0.0149

Formula : nCr*p^r*q^(n-r)

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