Question

1. Mean and variance of an unnamed discrete distribution The mass function of a discrete random variable X is given by Pr(X = x) = cx^2 for x = 1, 2, 3, 4 Find a) the normalization constant c ; b) the expectation E(X ) of the distribution; c) the variance var(X ) of the distribution; d) the mode of the distribution.

          1. Mean and variance of an unnamed discrete distribution
The mass function of a discrete random variable X is given by
Pr(X = x) = cx^2 for x = 1, 2, 3, 4
Find
a) the normalization constant c ;
b) the expectation E(X ) of the distribution;
c) the variance var(X ) of the distribution;
d) the mode of the distribution.

1. Mean and variance of an unnamed discrete distribution
The mass function of a discrete random variable X is given by
Pr(X = x) = cx^2 for x = 1, 2, 3, 4
Find
a) the normalization constant c ;
b) the expectation E(X ) of the distribution;
c) the variance var(X ) of the distribution;
d) the mode of the distribution.

Added by Vicki M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Ivan Kochetkov

10/26/2021

Step 1

So, we have: C * (1^2 + 2^2 + 3^2 + 4^2) = 1 C * (1 + 4 + 9 + 16) = 1 C * 30 = 1 C = 1/30 Show more…

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Mean and variance of an unnamed discrete distribution The mass function of a discrete random variable X is given by Pr(X = x) = cx^2 for x = 1, 2, 3, 4. Find: a) The normalization constant C. b) The expectation E(X) of the distribution. c) The variance var(X) of the distribution. d) The mode of the distribution.