Question

Can someone pls answer part d,e,f

Two independent random variables, X and Y, are measured and their sum calculated, c) What is meant by the statement that X and Y are independent? 2 marks d) Show that the expectation value and variance of Z are given by (X)-〈Y), [6 marks] e) State which part(s), if any, of your calculation in part (d) would have to be changed 2 marks] f) Barium-140 is a radioactive isotope produced in nuclear fission. It is unstable and if X andY were not independent decays to lanthanum-140 with a half-life of 12.8 days. Lanthanum-140 also decays, An experiment is performed in which a pure sample of barium-140 is produced and Calculate the expectation value and standard deviation of the distribution of pro- 8 marks to cerium-140 with a half-life of 40.5 days. Cerium-140 is stable. the distribution of production times of cerium-140 atoms measured duction times of cerium-140 atoms.

Answer 1

msovves th 3.ar ( x,+)=ek-)-E(X) EG).o.-' :1 po 2 Je +40.5 hey like 9-53.3 days

For standard deviation, I don't know the characteristic of nuclear fission. So, I can not answer.