Question

Suppose the random variable X has probability mass function given by f(-1)=0.1, f(O)=0.3, f(1.1)=0.2, f(2.3)=0.2, f(6)=0.1, f(8)=0.1. Calculate the mean of X. Your Answer:

Answer 1

Answer: 2.98

Step-by-step explanation: To calculate the mean of a random variable, we multiply each value of the variable by its corresponding probability and then sum them up. In this case, we have the following values and probabilities:

-1 with a probability of 0.1

0 with a probability of 0.3

1.1 with a probability of 0.2

2.3 with a probability of 0.2

6 with a probability of 0.1

8 with a probability of 0.1

To calculate the mean, we multiply each value by its probability and then sum them up:

(-1 * 0.1) + (0 * 0.3) + (1.1 * 0.2) + (2.3 * 0.2) + (6 * 0.1) + (8 * 0.1)

This simplifies to:

-0.1 + 0 + 0.22 + 0.46 + 0.6 + 0.8

Now, add all these values together:

-0.1 + 0 + 0.22 + 0.46 + 0.6 + 0.8 = 2.98