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Inga [223]
3 years ago
7

Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list sh

e doubts the authenticity of the list. She randomly selects five names from the list for validation. If 40% of the names on the list are not authentic, and X is the number of non-authentic names in her sample, P(X=0) is (use calculator) a. 0.8154. b. 0.0467. c. 0.0778. d. 0.4000.
Mathematics
1 answer:
amm18123 years ago
8 0

Answer:  c.  0.0778

Step-by-step explanation:

Let  X is the number of non-authentic names in her sample with parameter :

n= 5 and p=40% = 0.40

Binomial probability distribution, the probability of getting success in x trials :-

P(X=x)=^nC_xp^x(1-p)^{n-x}

We have ,

P(X=0)=^{5}C_0(0.40)^0(1-0.40)^{5}\\\\=(1)(0.60)^{5}\\\\=0.07776\approx0.0778

Thus , the correct answer is option c. 0.0778

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