A brisk walk at 4 miles per hour burns an average of 300 calories per hour. If the standard deviation of the distribution is 8 calories, find the probability that a person who walks one hour at the rate of 4 miles per hour will burn the following calories. Assume the variable is normally distributed. Draw the normal curve and label appropriately for each problem. a. P (more than 290 calories) _______________ b. P (between 280 and 320 calories) _______________ c. P(less than 280 calories) _______________ d. Would it be unusual for the person to burn less than 280 calories? ______________ 8. Assume that the mean systolic blood pressure of normal adults is 120 millimeters of mercury (mmHg) and the standard deviation is 5.6. Assume the variable is normally distributed. a. If an individual is selected, find the probability that the individual's pressure will be less than 118 mmHg. __________ b. A random sample of 40 adults is selected. According to the Central Limit Theorem, the mean is ________________ and the standard deviation is ___________________ c. If a sample of 40 adults is randomly selected, find the probability that the mean pressure will be less than 118 mmHg. __________