1) Suppose you are given a function f(x) which happens to be a pdf. Suppose that a and b are the minimum and maximum value that x can take and that c > a and d P(c?x?d)=?cd?f(x)dx . True or false? Please explain your answer.

2) The area under a histogram for a random variable represents _____________ .

3) For a function f(x) to be a pdf, (equation below in the image), where minus infinity and infinity denote the smallest and highest value that x can take, respectively. True or false? Please explain your answer.

OO - f(x)dx = tale ectivel