Question

Assume that women's weights are normally distributed with a mean given by μ=143 lb and a standard deviation given by σ=29lb.

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


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


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

Answer 1

a) 0.128 b) 0.51 c) 7.27

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