Two components of a minicomputer have the following joint pdf for their useful lifetimes X and Y: f(x, y)= xe^−x(1+y)  for x≥0 and y≥0
0 Otherwise

a. What is the probability that the lifetime X of the first component exceeds 3?
b. What is the probability that the lifetime of at least one component exceeds 3?
c. Are the two lifetimes independent?

Each of the walls of a room with square dimensions has been built with two pieces of sheetrock, a smaller one and a larger one. the length of all the smaller ones is the same and is stored in the variable small. similarly, the length of all the larger ones is the same and is stored in the variable large. write a single expression whose value is the total area of this room. do not use any method invocations.

One card is dealt from a 52 card deck. find the probability that the dealt card is a 4 or a black 7

This figure consists of a rectangle and semicircle. what is the perimeter of this figure use 3.14 for pi 60.84m 72.84m 79.68m 98.52m