a. The following represents for (Assume each se results of an hypothetical surve

Question

a. The following represents for (Assume each se results of an hypothetical survey of 1000 college freshmen on their choice tly 1 major). 4 significant digits). 4 points teeted, what is the probability that exactly 5 of them will be a ISM major? (Use Education 32.98% 32.98% Mathematics 23 40% Accounti 10.64% b. (Assume each student chooses exactly 1 major). If 8 students are randomly selected, what is the probability that exactly 4 of them will be a ISM major or Accounting major? (Use 4 significant digits). Hint : ISM major or a Accounting are mutually exclusive. P(exactly 4 (ISM major or a Accounting major) * P(exactly 4 ISM majors)+P(exactly 4 Accounting ma- jors)) 6 points

Explanation / Answer

Binomial distribution formula: P(X) = nCx px qn-x

a) P(ISM Major) = 0.3298

P(not ISM major) = 1-0.3298 = 0.6702

P(5 ISM majors out of 9) = 9C5 x 0.32985 x 0.67024

= 0.0992

b) P(ISM major or accounting major) = 0.3298 + 0.1064

= 0.4362

P(not ISM major or accounting major) = 1 = 0.4362

= 0.5638

P(4 ISM major or accounting major out of 8) = 8C4 x 0.43624 x 0.56384

= 0.2561

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