The discrete random variable has the following probability distribution: | | | | | |…

MATHEMATICS · Multi-part · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions

Problem

The discrete random variable

X

has the following probability distribution:


$x$	1	2	4	7
$P(X = x)$	$k$	$2k$	$3k$	$4k$

(1) Find the value of

k

. (2) Find the variance of

X

. (3) Find the variance of

20 - 5X