Question

To create a legitimate probability distribution for the discrete random variable X, you need to assign probabilities to the possible values 1,3,4,5,5,6. These probabilities must satisfy two conditions: 1. Each probability must be non-negative.

2. The sum of all probabilities must equal 1. You need to fill in the P(X=x) values for each of the possible values 1,3,4,5,5,6. Make sure to box the answers that you come up with for each value of X, ensuring they satisfy the conditions mentioned above.

Answer 1

To create a legitimate probability distribution for a discrete random variable X, assign probabilities to the possible values of X such that the probabilities are non-negative and their sum is equal to 1.

Step-by-step explanation:

A legitimate probability distribution for a discrete random variable X must assign probabilities to the possible values. In this case, the possible values of X are 1, 3, 4, 5, and 6.

To satisfy the conditions of a legitimate probability distribution, the probabilities must be non-negative and the sum of all probabilities must equal 1.

Let's fill in the probabilities for each value of X:

P(X=1) = **1/6**

P(X=3) = **1/6**

P(X=4) = **1/6**

P(X=5) = **2/6**

P(X=6) = **1/6**