Let's consider tossing two fair coins with the following random variable x= number of tails when two coins are tossed.

Overview

Let's consider tossing two fair coins with the following random variable x= number of tails when two coins are tossed.

x is the random variable because its numerical value depends on chance.

The table below is the probability distribution for the number of tails in two coin tosses.

x: Number of tails when two coins are tossed	Probability of getting x P(x)
0	0.25
1	0.50
2	0.25

Questions:

Question 1)

Is the random variable 𝑥 in the table above a discrete or continuous variable? Please explain your answer.

Question 2)

Find the mean for the above probability distribution. Round your answer to two decimal places if necessary. Please show your work.

Question 3)

Find the variance for the above probability distribution. Round your answer to two decimal places if necessary. Please show your work.

Question 4)

Find the standard deviation for the above probability distribution. Round your answer to two decimal places if necessary. Please show your work.