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Finding Binomial Probabilities In Exercise,
Chapter 4, Problem 22E(choose chapter or problem)
Problem 22E
Finding Binomial Probabilities In Exercise, find the indicated probabilities. If convenient, use technology or Table 2 in Appendix B to find the probabilities.
Environmentally Friendly Products Forty-three percent of adults would pay more for environmentally friendly products. You randomly select 12 adults. Find the probability that the number of adults who would pay more for environmentally friendly products is (a) exactly four, (b) more than four, and (c) between four and eight, inclusive.
Questions & Answers
QUESTION:
Problem 22E
Finding Binomial Probabilities In Exercise, find the indicated probabilities. If convenient, use technology or Table 2 in Appendix B to find the probabilities.
Environmentally Friendly Products Forty-three percent of adults would pay more for environmentally friendly products. You randomly select 12 adults. Find the probability that the number of adults who would pay more for environmentally friendly products is (a) exactly four, (b) more than four, and (c) between four and eight, inclusive.
ANSWER:
Solution:
Step 1 of 3:
From the given problem, we have
n = 12, p = 43%
= 0.43
The pmf of a Binomial distribution is
P(X = x) = ; x = 0, 1, 2,...., n.
Here we need to find the probabilities for
a). Here we have to find the probability of exactly four.
= 0.1886
Hence, the probability of exactly four is 0.1886.