Question

Determine whether or not the distribution is a discrete probability distribution and select the reason why or why not. x −3 4 7 P(X=x) 0.19 0.3 0.51 Answer First, decide whether the distribution is a discrete probability distribution, then select the reason for making this decision.

Answer 1

Answer:

The given probability distribution is a discrete probability distribution.

Step-by-step explanation:

We are given the following in the question:

       x:    3        4        7

P(X=x): 0.19    0.3    0.51

Property of discrete probability distribution:

$\displaystyle\sum P(x_i) = 1$

If the given probability distribution satisfies this property then, it is a discrete probability distribution.

$\displaystyle\sum P(x_i)\\\\= 0.19+0.3+0.51 \\= 1$

Thus, it satisfies the property for a discrete probability distribution.

Thus, the given probability distribution is a discrete probability distribution.