He following table shows the probability distribution for a discrete

gea3stwg

gea3stwg

Answered question

2022-01-27

He following table shows the probability distribution for a discrete random variable. What is the variance of X?
X 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
The mean of the discrete random variable X is 18.59.

Answer & Explanation

Damian Roberts

Damian Roberts

Beginner2022-01-28Added 14 answers

Explanation:
The variance of X is equal to the standard deviation of X squared:
variance= (standard deviation)2
Enter the data into two lists. Press "stat", then "enter" in order to edit the lists
I used L1 for X and L2 for P(X)
Next, press "stat", move right to "calc", then "enter" in order to calculate 1-variable statistics on X.
Confirm that L2 is the frequency list for L1, and press "calculate".
The screen should show the standard deviation σx=4.8148
Finally, square the standard deviation to get
variance = 23.1819

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