9. Let the probability distribution function of X be defined by: = { a ()", x= 0, 1, 2, 3, 0, p(x) otherwise i. Find the value of a. ii. Find P(-1

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discrete rondom variables

9. Let the probability distribution function of X be defined by:
p(x) = { a (), x = 0, 1, 2, 3,
0,
otherwise
i.
Find the value of a.
ii. Find P(-1 < x < 4).
ii. Calculate the mean and variance.
iv. Find the value of E(2X – 11) and Var(3X + 3).
Transcribed Image Text:9. Let the probability distribution function of X be defined by: p(x) = { a (), x = 0, 1, 2, 3, 0, otherwise i. Find the value of a. ii. Find P(-1 < x < 4). ii. Calculate the mean and variance. iv. Find the value of E(2X – 11) and Var(3X + 3).
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