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In: Statistics and Probability

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

4. 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)?

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Expert Solution

Solution:

a)

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

Answer: We have to find:

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

Answer: We have to find:

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

Answer: We have to find:

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

Answer: We have to find:

We know that:

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

Answer: We have to find:

We know that:

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

Answer: We have to find:

We know that:

orchestra answered 2 years ago
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