Question

Using the following probability distribution table of the random variable x, what is the probability of x = 3?

х P(x)
0 5/15
1 4/15
2 1/15
3 ?
A. 2/15
B. 5/15
C. 1/15
D. 3/15

Answer 1

The probability of x = 3 is 5/15.

Step-by-step explanation:

The probability of x = 3 can be found by looking at the probability distribution table. From the table, we see that P(x = 3) is missing. To find P(x = 3), we can subtract the probabilities of x = 0, x = 1, and x = 2 from 1, since the sum of all probabilities should equal 1.

P(x = 3) = 1 - (P(x = 0) + P(x = 1) + P(x = 2))

P(x = 3) = 1 - (5/15 + 4/15 + 1/15) = 1 - 10/15 = 5/15

Therefore, the probability of x = 3 is 5/15.