LESSON: STANDARD NORMAL VARIABLE (please provide answer and solutions according to the lesson.

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