Please answer correctly, thank you. The workers\' union at a particular universi

Question

Please answer correctly, thank you.

The workers' union at a particular university is quite strong. About 96% of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview 5 workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly 4 of the workers interviewed are union members? Round your response to at least three decimal places. (If necessary, consult a list of formulas.) Clear Undo Help

Explanation / Answer

1)

P(X=4) = 5C4 * 0.96^4 * 0.04 = 0.17

2)

a) mean = np = 20 * 0.5 = 10

b)

standard deviation = sqrt(variance) = sqrt(npq)

= sqrt(20 * 0.5 * 0.5)

= 2.236

3)

E(x) = 0 * 0.1 + 10 * 0.15 + 20 * 0.05 + 30 * 0.1 = -0.5

E(x^2) = 0^2 * 0.1 + 10^2 * 0.15 + 20^2 * 0.05 + 30^2 * 0.1 = 185

variance = 185 - (-0.5)^2 = 184.75

standard deviation = sqrt(variance) = 13.592

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