In a survey of 500 college graduates, 67% reported that they entered a profession closely related to their college major. If 8 college graduat randomly selected, what is the probability that 5 of them entered a profession closely related to their college major? Round your answer to nearest thousandths place.

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QUESTION 5
In a survey of 500 college graduates, 67% reported that they entered a profession closely related to their college major. If 8 college graduates are
randomly selected, what is the probability that 5 of them entered a profession closely related to their college major? Round your answer to the
nearest thousandths place.
Transcribed Image Text:baby buster - Google Search Ledu/webapps/assessment/take/launch.jsp?course_assessment_id=_804647_ 1&course_id=_172595 1&content id%= 15517779... * uestion Completion Status: QUESTION 5 In a survey of 500 college graduates, 67% reported that they entered a profession closely related to their college major. If 8 college graduates are randomly selected, what is the probability that 5 of them entered a profession closely related to their college major? Round your answer to the nearest thousandths place.
Expert Solution
Step 1- Writing given data

Given that 

In survey of 500 college graduates 67% reported a college major. 

P = 0.67

(1-P) = (1-0.67) = 0.33

Randomly selected (n)  = 8

We know that 

Binomial probability = P(X=x) = =nCxxPxx(1-P)(n-x)

 

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