Question

F(0) (P-1) isqsto Let's assume that some random variable has a cumulative distribution 09<1 5(x-1) 1sq310 q>10 a. What is the pdf for Q? (10 points) b. What is the probability that is less than or equal to 2? c. What is the probability that is greater than or equal to 1.5? d. What is the probability that is between 1.5 and 2? e. What is the probability that Q is less than 2, given Q is less than 1.5?

Answer 1

the answer to e. is 1. The expkanation is beneath the answer. For query, comment.

can playa del FC®) = 0 :: 221 159510, -0 ; 2710 12 bla) - 1182510 PfQ52) = f(2)= 22 - 7/333 ='02102 con PCQ715) = 1-FLY'S) = 1-15). .99287 , dPCROSS 852) = F(2) - FCIPS) E e - {(5)2 - 4 [by by] 333 333 5 .01389 PCB 3210 31s) - PL 892 0851'5) / PCO 315) a PCB 515)/PLO€105)=1, Beis) = 32) 15. 2. die 8 31'5'0852) ༉ B = (515) pc 352 Ć Ko%!