Question

In: Math

Given an approximately normal distribution with a mean of 175 and a standard deviation of 37....

Given an approximately normal distribution with a mean of 175 and a standard deviation of 37.

(a) Draw a normal curve and label 1, 2, and 3 standard deviations on both sides on the mean.

(b) What percent of values are within the interval (138, 212)?

(c) What percent of values are within the interval (101, 249)?

(d) What percent of values are within the interval (64, 286)?

(e) What percent of values outside the interval (138, 212)?

(f) What percent of values are outside the interval (101, 249)?

(g) What percent of values are outside the interval (64, 286)?

Solutions

Expert Solution

Part a)

Part b)

Standardizing the value

To find the percentage 0.6827 * 100 = 68.27%

Part c)

Standardizing the value

To find the percentage of 0.9545 * 100 = 95.45%

Part d)

Standardizing the value

To find the percentage of 0.9973 * 100 = 99.73%

milcah answered 3 months ago
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