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According to the most recent​ data, 12.3​% of engineers​ (electrical, mechanical,​ civil, and​ industrial) were women. Suppose a random sample of 80 engineers is selected. a. How likely is it that a random sample of 80 people will contain 12 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 160 ​engineers, how would this change your answer to part​ b?

Respuesta :

Answer:

Step-by-step explanation:

Given that according to the most recent data, 12.3​% of engineers​ (electrical, mechanical,​ civil, and​ industrial) were women.

n =80

p is normal with p = 12.3% and std error = [tex]\sqrt{\frac{0.123(0.877}{80} } =0.03672[/tex]

Prob 12 or more women = P(p>0.15)

=P(Z>[tex]\frac{0.15-0.123}{0.03672} =0.74)[/tex]

=0.5-0.2704=0.2296

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