Solution Found!
(i) Give the name of the distribution of X (if it has a name), (ii) find the values of
Chapter 2, Problem 2.4-20(choose chapter or problem)
(i) Give the name of the distribution of X (if it has a name), (ii) find the values of and 2, and (iii) calculate P(1 X 2) when the moment-generating function of X is given by (a) M(t) = (0.3 + 0.7et )5. (b) M(t) = 0.3et 1 0.7et , t < ln(0.7). (c) M(t) = 0.45 + 0.55et . (d) M(t) = 0.3et + 0.4e2t + 0.2e3t + 0.1e4t . (e) M(t) = 10 x=1 (0.1)etx.
Questions & Answers
QUESTION:
(i) Give the name of the distribution of X (if it has a name), (ii) find the values of and 2, and (iii) calculate P(1 X 2) when the moment-generating function of X is given by (a) M(t) = (0.3 + 0.7et )5. (b) M(t) = 0.3et 1 0.7et , t < ln(0.7). (c) M(t) = 0.45 + 0.55et . (d) M(t) = 0.3et + 0.4e2t + 0.2e3t + 0.1e4t . (e) M(t) = 10 x=1 (0.1)etx.
ANSWER:Step 1 of 7
We have to find the name of the distribution of X (if it has a name), the values of and , and calculate for each of the given moment-generating function of X: