In: Statistics and Probability
Determine whether or not the distribution is a discrete probability distribution and select the reason why or why not.
x | −4 | −3 | −2 |
---|---|---|---|
P(X=x) | 0.55 | 0.39 | 0.06 |
Answer
First, decide whether the distribution is a discrete probability distribution, then select the reason for making this decision.
Decide 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.
The given probability distribution is discrete probability distribution because variable X takes finite values and given probabilities of values of X lies between 0 and 1 both inclusive and sum of probabilities is equal to 1