High School

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

(a) If 1 woman is randomly selected, find the probability that her weight is above 176 lb.

(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:

a) 0.128 b) 0.51 c) 7.27

Step-by-step explanation:

a)

Lower Bound: 176

Upper Bound: 99999

μ: 143

σ: 29

= 0.1275….

b)

Lower Bound: 176

Upper Bound: 99999

μ: 143

σ: 29

0.1275… (4) = 0.51

c)

Lower Bound: 176

Upper Bound: 99999

μ: 143

σ: 29

0.1275… (57) = 7.27

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