The following table shows the probability distribution for a discrete random variable.
Х
11
14
16
19
21
23
24
29
P(X) 0.07 0.21
0.17 0.25 0.05 0.04 0.13 0.08
What is the mean of this discrete random variable? (That is, what is E(X), the
expected value of X?)
A. 19
B. 19.625
C. 20
D. 18.59

Because the random variable X is discrete, the variance of X is defined as

var(X) = 

where

p =  values of probability as given in the table.

μ = 18.59

Calculate the array (x - μ).

x-μ = [-7.59 -4.59 -2.59 0.41 2.41 4.41 5.41 10.41]

Calculate the array (x-μ)².

(x- μ)² = [57.6081 21.0681 6.7081 0.1681 5.8081 19.4481 29.2681 108.3681]

Calculate the array p*(x-μ)².

p*(x- μ)² = [4.0326 4.4342 1.1404 0.042 0.2904 0.7779 3.8049 8.6694]

Calculate the variance of X.

var(X) = 23.182

Step-by-step explanation:

23.18 (nearest hundredth)

you going to fail stop

step-by-step explanation:

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.