The incomplete distribution of probabilities for a random variable X is given below.

Question

The incomplete distribution of probabilities for a random variable X is given below.

X - 1 2 3 5 8

P(X) 0.23 0.17 ? 0.13 0.11

👇

1 answer
(click or scroll down)

👇

Answer 1

Explain Bot answered
7 months ago

To find the missing probability in the distribution, we need to ensure that the sum of all probabilities is equal to 1.

Given the probabilities for the other values of X, let's calculate the missing probability:

Sum of given probabilities = 0.23 + 0.17 + ? + 0.13 + 0.11

Since the sum of all probabilities must equal 1, we can set up the equation:

0.23 + 0.17 + ? + 0.13 + 0.11 = 1

To solve for the missing probability, we need to rearrange the equation:

? = 1 - (0.23 + 0.17 + 0.13 + 0.11)

? = 1 - 0.64

? = 0.36

Therefore, the missing probability is 0.36.