SOLUTION: if 15% of the people in a certain factory are members of a union, find the probability that in a random sample of 200, fewer than 24 people are union members. First show the 3 cond
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Question 1112015: if 15% of the people in a certain factory are members of a union, find the probability that in a random sample of 200, fewer than 24 people are union members. First show the 3 conditions of the normal, find the probability and the show the diagram and what was plugged into the calculator
You can put this solution on YOUR website! mean of the proportion is 0.15
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1 - 0.15 = 0.85
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standard error of the sample = square root(0.15 * 0.85 / 200) = 0.0252
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sample size(200) > 30, we can use the normal distribution
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24/200 = 0.12
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z-score = (0.12 - 0.15) / 0.0252 = −1.19
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Probability ( X < 24 ) = 0.1170
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