Consider a room of 5 people. It is equally likely that a person will be male or female. Let X = the number of women in the room. (a) Include a...

Consider a room of 5 people. It is equally likely that a person

will be male or female. Let X = the number of women in the room.

(a) Include a formula for the PDF of X.

(b) Compute the probability that X = 3 (namely the probability

that there are 3 women in the room).

(c) Compute the mean of X.