Question

Determine whether or not the distribution is a discrete probability distribution and select the reason why or why not.

x	−2	6	7
P(X=x)	−1/4	1/2	3/4

First, decide whether the distribution is a discrete probability distribution, then select the reason for making this decision.

Yes     No              

Reason

Since the probabilities lie inclusively between 0 and 1 and the sum of the probabilities is equal to 1 .

Since at least one of the probability values is greater than 1 or less than 0.

Since the sum of the probabilities is not equal to 1.

Since the sum of the probabilities is equal to 1.

Since the probabilities lie inclusively between 0 and 1.    

Answer 1

First, decide whether the distribution is a discrete probability distribution, then select the reason for making this decision.

Reason

Conditions for the discrete probability distribution

1. Sum of probability must be equal to one

2. The value of each probability must be between 0 and 1.

In the given problem   is less than 0. Hence the condition fails. Also, the probability cannot be negative. The probability will always be a positive number