The following table gives the probability distribution for two random variables:

x, which measures the total number of times a person will be ill during a year, and y, the sex of this person, where 1 represents male and 0 female.

(a) Calculate the expected value and standard deviation of the number of times a person will be ill during a year, given that the sex of the person is male.

(b) Calculate the mean and standard deviation of the number of times a person will be ill during a year, given that the sex of the person is female.

Transcribed Image Text:

Y 0 1 1 .10 .13 .23 2 .11 .16 .27 3 .11 .07 .18 4 .17 .15 .32 Total .49 .51 1.00