Question

For determining half-lives of radioactive isotopes, it is important to know what the background radiation is in a given detector over a specific period. The following data were taken in a y -ray detection experiment over 98 ten-second intervals: 58 50 57 58 64 63 54 64 59 41 43 56 60 50 46 59 54 60 59 60 67 52 65 63 55 61 68 58 63 36 42 54 58 54 40 60 64 56 61 51 48 50 60 42 62 67 58 49 66 58 57 59 52 54 53 53 57 43 73 65 45 43 57 55 73 62 68 55 51 55 53 68 58 53 51 73 44 50 53 62 58 47 63 59 59 56 60 59 50 52 62 51 66 51 56 53 59 57 Assume that these data are observations of a Poisson random variable with mean λ. (a) Find the values of x and s2 (b) What is the value of the maximum likelihood estimator of (c) Is S2 an unbiased estimator of (d) Which of ī and s2 would you recommend for estimating λ? Why? You could compare the variance of with the variance of S2, which is Var(S2) = A(2an + n-1) n(n-1)

Answer 1

+と.zt-2.4th-2キ sd: 7.197 2l h-l

v-1 n(n-i non-1 vs)