Suppose that in a certain drug the concentration of a particular chemical is a random variable with a continuous distribution for which the p. d.f. g is as follows: g(x)= {3/8 x^2 for 0 <= x <=2
0 otherwise}

Suppose that the concentrations X and Y of the chemical in two separate batches of the drug are independent random variables for each of which the p. d.f. is g. Determine:

a. the joint p. d.f. of Xand Y
b. Pr(X =Y)
c. Pr(X >Y )
d. Pr(X + Y =<1).

Finally, the arena decides to offer advertising space on the jerseys of the arena’s own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14. what is this as a percentage and a fraction? what is the probability of not being shortlisted? give your answer as a decimal. those shortlisted are entered into a final game of chance. there are six balls in a bag (2 blue balls, 2 green balls and 2 golden balls). to win, a company needs to take out two golden balls. the first ball is not replaced. what is the probability of any company winning advertising space on their volley ball team jerseys?