Math Problem Statement

Forty-five percent of consumers say it is important that the clothing they buy is made without child labor. You randomly select

1818

consumers. Find the probability that the number of consumers who say it is important that the clothing they buy is made without child labor is​ (a) exactly

sevenseven​,

​(b) at least

eleveneleven​,

and​ (c) less than

twelvetwelve.

Question content area bottom

Part 1

​(a) The probability that the number of consumers who say it is important that the clothing they buy is made without child labor is exactly

sevenseven

is

Upper P left parenthesis exactly seven right parenthesisP(exactly seven)equals=enter your response here.

​(Round to three decimal places as​ needed.)

Solution

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Math Problem Analysis

Mathematical Concepts

Probability
Binomial Distribution

Formulas

P(X = k) = (n choose k) * p^k * (1 - p)^(n-k)

Theorems

Binomial Theorem

Suitable Grade Level

College Level or Advanced High School