(17') The random variable X obeys the distribution Binomial(n,p) with n=3, p=0.45. (a) Write Px(1), the PMF of X. Be sure to write the value of Px(1) for all a from -o to +oo. (b) Sketch the graph of the PMF Px[r]. (c) Find E[X], the expected value of X. (d) Find Var[X], the variance of X.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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(17') The random variable X obeys the distribution Binomial(n,p) with n=3, p=0.45.
(a) Write Px(1), the PMF of X. Be sure to write the value of Px(T) for
all z from
-o to +oo.
(b) Sketch the graph of the PMF Px[x].
(c) Find E[X], the expected value of X.
(d) Find Var[X], the variance of X.
Transcribed Image Text:(17') The random variable X obeys the distribution Binomial(n,p) with n=3, p=0.45. (a) Write Px(1), the PMF of X. Be sure to write the value of Px(T) for all z from -o to +oo. (b) Sketch the graph of the PMF Px[x]. (c) Find E[X], the expected value of X. (d) Find Var[X], the variance of X.
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