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
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
mean of the proportion is 0.15
:
1 - 0.15 = 0.85
:
standard error of the sample = square root(0.15 * 0.85 / 200) = 0.0252
:
sample size(200) > 30, we can use the normal distribution
:
24/200 = 0.12
:
z-score = (0.12 - 0.15) / 0.0252 = −1.19
:
Probability ( X < 24 ) = 0.1170
:
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