In some applications the distribution of a discrete RV, X resembles the Poisson distribution except that 0 is not a possible value of X. Consider such a RV with PMFwhere 1 > 0 is a parameter, and c is a constant.(a) Find the expression of c in terms of 1. (b) Find E(X).(Hint: You can use the fact that, if Y ~ Poisson(1), the E(Y) = 1.) [10] In some applications the distribution of a discrete RV, X resembles the Poissondistribution except that 0 is not a possible value of X. Consider such a RV with PMFe-Px(x) = cx = 1, 2, ....x!where > 0 is a parameter, and c is a constant.(a) Find the expression of c in terms of X.1(b) Find E(X).(Hint: You can use the fact that, if Y~Poisson (A), the E(Y) = A.)

Solution: Thank you!!!Please rate helpful.If you need further clarification, feel free to ask.

[10] In some applications the distribution of a discrete RV, X resembles the Poisson distribution except that 0 is not a possible value of X. Consider such a RV with PMF e- Px(x) = c x = 1, 2, .... x! where > 0 is a parameter, and c is a constant. (a) Find the expression of c in terms of X. 1 (b) Find E(X). (Hint: You can use the fact that, if Y~Poisson (A), the E(Y) = A.)

[10] In some applications the distribution of a discrete RV, X resembles the Poisson distribution except that 0 is not a possible value of X. Consider such a RV with PMF e- Px(x) = c x = 1, 2, .... x! where > 0 is a parameter, and c is a constant. (a) Find the expression of c in terms of X. 1 (b) Find E(X). (Hint: You can use the fact that, if Y~Poisson (A), the E(Y) = A.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.1: Measures Of Center

Problem 9PPS

See similar textbooks