Question
Asked Nov 14, 2019
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The passing rate for taking the bar exam in Philadelphia is 42%.  If 65 people take the bar exam, what is the probability that 25 of them will pass the bar exam?  Please explain how you get answer.

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Expert Answer

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Step 1

Given information:

Sample proportion (p) = 0.42

Total number of people (n) = 65

Number of success (x) = 25

Step 2

The formula of binomial distribution with the parameter p, x and n is,

P(X x) "C,p(1- p)"
n-x
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P(X x) "C,p(1- p)" n-x

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Step 3

Now, the probability that 25 of them will pass the bar exam, us...

x0.42 (1-0.42)-25
P(X 25)C
40
651687674221131912 x x0.422 (1-0.42)
=0.0558
=0.086
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x0.42 (1-0.42)-25 P(X 25)C 40 651687674221131912 x x0.422 (1-0.42) =0.0558 =0.086

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