4. According to the California water Agency, 26% of Californians actively conser

Question

4. According to the California water Agency, 26% of Californians actively conserve water. Three Californians are chosen at random. a) Find the probability that all three actively conserve water. b) Find the probability that exactly two actively conserve water by summing the probability of each successful outcome. c)Fifty Californians are now chosen at random. Do you think the method you used to calculate 4B should be used to calculate the probability that exactly twelve Californians actively conserve water? affle

Explanation / Answer

Answer to the question is as follows:

4. 26% of Californinans actively converse water

a. P( all 3 actively conserve water) = 3C3 (.26^3) *(1-.74)^0 = .26^3 = .0176

b. P(exactly 2 actively converse water ) = 3C2 (.26^2)(1-.74) = .0528

c. Yes, the same method i.e. usage of the binomial distribution pdf function should suffice for this

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