Make sure your answer is correct. 0)whose probabılıty density function is given by「景 (1-) for 0 S“n>fa(t) =%3D0.otherwiseThe parameter A depends on the manufacturer of the battery If the...

Make sure your answer is correct.

Extracted text: Suppose there are two manufacturers A and B of a smartphone battery Company A manufactures the fraction of 60% of all the batternes used in the smartphones while company B manufactures the rest Assume that the hfetime of each battery is a continuous random variable T (with parameter A > 0) whose probabılıty density function is given by 「景 (1-) for 0 S“n> fa(t) = %3D 0. otherwise The parameter A depends on the manufacturer of the battery If the battery s manufactured by A then A =1 while if it is manufactured by B then A = 2 Suppose you buy a new smartphone that is randomly picked among all the produced phones Compute the expectation and variance of the lifetime of the battery of your new phone Hınt In calculatıng the expectation and variance you should condition on the manufacturer of the battery