Life expectancy for females is higher than the life expectancy for males. One reason for this is that females a better job of seeing their doctor for routine physical exams. A recent article in Yesterday's News Today studied the frequency with which 50-year old males see their doctor for routine physical exams. The article provided a probability distribution for the number of physical exams during the last 5 years for this group of males. The distribution is provided below.

Number of Routine

Physical Exams During

the Last 5 Years Probability

0 0.10

1 0.20

2 0.40

3 0.15

4 0.10

5 0.05

Suppose a 50-year old male is selected,

a. What is the probability that he had less than two routine physical exams during the last 5 years?

b. What is the probability that he had more than 3 routine physical exams during the last 5 years?

c. Calculate the means and the standard deviation of this probability distribution.