To examine practices towards a pandemic otubreak, the researcher examined the relevant responses from the survey and assigned scores of 1 (below required standard), 2 (poor standards), 3 (satisfactory standards), 4 (meets required standards) and 5 (exceeds required standard) to each respondent. Using X to represent the score for practices against a pandemic outbreak, the probability distribution of X is shown in Table 3 below. x 1 2 3 4 5 P(X=x) 0.21 0.197 0.2 0.173 0.22 The researcher is interested in using the information in Table 3 to determine the probability that, from a sample of 10 randomly selected adults, exactly 3 of them exceeds the required standard for practices towards a pandemic outbreak. Question(a) carefully defining the random variable of interest (b) calculating the probability that exactly 3 adults, out of 10, exceeds the required standard for practices against COFLU-20

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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To examine practices towards a pandemic otubreak, the researcher examined the relevant responses from the survey and assigned scores of 1 (below required standard), 2 (poor standards), 3 (satisfactory standards), 4 (meets required standards) and 5 (exceeds required standard) to each respondent. Using X to represent the score for practices against a pandemic outbreak, the probability distribution of X is shown in Table 3 below.

x 1 2 3 4 5
P(X=x) 0.21 0.197 0.2 0.173 0.22

The researcher is interested in using the information in Table 3 to determine the probability that, from a sample of 10 randomly selected adults, exactly 3 of them exceeds the required standard for practices towards a pandemic outbreak.

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(a) carefully defining the random variable of interest 

(b) calculating the probability that exactly 3 adults, out of 10, exceeds the required standard for practices against COFLU-20

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