According to the most recent data, 10.6% of engineers (electrical, mechanical, civil, and industrial) were women. Suppose a random sample of 75 engineers is selected. a. How likely is it that a random sample of 75 people will contain 10 or more women in these positions? b. How likely is it that the random sample will contain fewer than 5 women in these positions? c. If the random sample included 150 engineers, how would this change your answer to part b? a. The probability of getting a sample of 75 with 10 or more women is (Round to four decimal places as needed.) CH

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According to the most recent data, 10.6% of engineers (electrical, mechanical, civil, and industrial) were women. Suppose a random sample of 75 engineers is selected.
a. How likely is it that a random sample of 75 people will contain 10 or more women in these positions?
b. How likely is it that the random sample will contain fewer than 5 women in these positions?
c. If the random sample included 150 engineers, how would this change your answer to part b?
a. The probability of getting a sample of 75 with 10 or more women is
(Round to four decimal places as needed.)
C
Transcribed Image Text:According to the most recent data, 10.6% of engineers (electrical, mechanical, civil, and industrial) were women. Suppose a random sample of 75 engineers is selected. a. How likely is it that a random sample of 75 people will contain 10 or more women in these positions? b. How likely is it that the random sample will contain fewer than 5 women in these positions? c. If the random sample included 150 engineers, how would this change your answer to part b? a. The probability of getting a sample of 75 with 10 or more women is (Round to four decimal places as needed.) C
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