a survey of college graduates, 61% reported that they entered a profession closely related to their college major. If 8 college graduates are randomly selected, use the binomial distribution to find the probability of each item. a) Getting exactly 3 (x=3) that entered a profession closely related to their major. b) Getting 3 or fewer (x≤3) that entered a profession closely related to their major. c) Getting at least one (x≥1) that entered a profession closely related to their major. d) Find the mean and standard deviation. e) Would it be unusual for all 8 to be in a profession closely related to their majo

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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In a survey of college graduates, 61% reported that they entered a profession closely related to their college major. If 8 college graduates are randomly selected, use the binomial distribution to find the probability of each item.

a) Getting exactly 3 (x=3) that entered a profession closely related to their major.

b) Getting 3 or fewer (x≤3) that entered a profession closely related to their major.

c) Getting at least one (x≥1) that entered a profession closely related to their major.

d) Find the mean and standard deviation.

e) Would it be unusual for all 8 to be in a profession closely related to their major?

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