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29 March, 01:32

Suppose 30% of business majors major in accounting. You take a random sample of 3 business majors. Answer questions 39 and 40: What is the chance that at least one student majors in accounting?

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  1. 29 March, 04:04
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    The probability that at least one student majors in accounting=0.3*0.3*0.3=0.027

    Explanation:

    Step 1: Determine the number of accounting majors in a business

    N=P*S

    where;

    N=number of accounting majors

    P=probability of accounting majors

    S=sample size

    This can also be written as;

    Number of accounting majors=probability of accounting majors*sample size

    In our case;

    Number of accounting majors=unknown, to be determined

    Probability of accounting majors=30%=30/100=0.3

    Sample size=3 business majors

    Substituting;

    Number of accounting majors=0.3*3=0.9

    Step 2: Determine the chance that at least one student majors in accounting

    The probability that at least one student majors in accounting=0.3*0.3*0.3=0.027
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