1. From a lot containing 20 items of which 5 are defective 4 are chosen at random . Let X be the number of detectives found.

a) Write down the point of X b) Find the probability distribution of X c) Find E(X) and V(X)

2. The amount of bread X (in hundreds of kg) that a certain bakery is able to sell in a day found to be a continuous r-v with a pd given as below

f(x) = {kx 0<_ x<5

{k(10-x) 5<_ x<10

0 otherwise

a) Find k b) Find the probability that the amount of bread that will be sold tomorrow is i) More than 500kg ii) 250 and 750kg c) Find t expected amount of bread to be sold in any day