High School

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Assume that women's weights are normally distributed with a mean of [tex]\mu = 143 \, \text{lb}[/tex] and a standard deviation of [tex]\sigma = 29 \, \text{lb}[/tex].

b) If 4 women are randomly selected, find the probability that they have a mean weight above 176 lb.

c) If 57 women are randomly selected, find the probability that they have a mean weight above 176 lb.

Answer :

Answer:

b) P(mean weight > 176) = 1 - P(mean weight ≤ 176) = 1 - 0.9332 = 0.0668

c) P(mean weight > 176) = 1 - P(mean weight ≤ 176) = 1 - 0.9997 = 0.0003

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