Part 1

A brisk walk at 5 miles per hour, burns an average of 250 calories per hour. If the standard deviation of the distribution is 10 calories. Assume the variable to be normally distributed .

Find the probability that a person who walks one hour at the rate of 5 miles per hour will burn the following calories.

1. Between 245 and 255 calories

2. Less than 263 calories

3. Less than 248 calories

4. More than 238 calories

5. More than 272 calories

Instruction for part 1.

Please solve and answer. Please make or draw and label the standard normal curve. Solution is a must.

Part 2:

1. Suppose a population holds the ages of five family members, as follows: 1, 13,32,34, and 59. Calculate the population mean and the sample means of the random variable nod size n= 2. Illustrate the probability distributions of the sample means of the ages of the five family members.

2. Referring to the situation above, construct a sampling distribution of the sample variances and sample standard deviations.