est. FIhal Exam Time Remaining: 00:45 14 Submit Tes s Question: 1 pt 10 of 19(2

Question

est. FIhal Exam Time Remaining: 00:45 14 Submit Tes s Question: 1 pt 10 of 19(2 complete) This Test: 19 pts possil 26% of adults would pay moe for environmentally friendly products You randomly select 10 aduits. Find the probability that the number of adults who would pay more for environmentally fhendly products is (a) exactly two, (b) more than two, and (c) between two and five, inclusive (a) P(2)-(Round to the nearest thousandth as needed.) (b) P(x+2) (Round to the nearest thousandh as needed) (c) p(25xs$)-(Round to the nearest thousandth as needed) Enter your answer in each of the answer boxes 5 6 8 9

Explanation / Answer

This is binomial distribution problem with
p = 0.26
n = 10

As per binomial distribution,
P(X = x) = nCx * p^x * (1-p)^(n-x)

P(X = 2) = 10C2 * 0.26^2 * 0.74^8 = 0.2735

P(X > 2) = =1-BINOM.DIST(1,10,0.26,TRUE)
= 0.7778

P(2 <= x <= 5) = =BINOM.DIST(5,10,0.26,TRUE) - BINOM.DIST(1,10,0.26,TRUE)
= 0.753840242

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