Question

0 or 1
the random variable x has the following discrete probability
distribution. complete parts a through d.

x	-3	3	5	7	9

...

a. list the values that x may assume.
-3, 3, 5, 7, 9 (use ascending order)

b. what value of x is most probable?
5

c. what is the probability that x is greater than 0?
0.8 (type an integer or a decimal)

d. what is the probability that x = -1?
□ (type an integer or a decimal)

clear all

Explanation:

Step1: Analyze the probability distribution

The given discrete probability distribution for \( x \) has values \( x = -3, 3, 5, 7, 9 \) with corresponding probabilities. We check if \( x = -1 \) is in the list of possible values of \( x \).

Step2: Determine the probability of \( x = -1 \)

Since \( -1 \) is not one of the values that \( x \) can assume (the possible values are \( -3, 3, 5, 7, 9 \)), the probability that \( x = -1 \) is \( 0 \) (because in a discrete probability distribution, the probability of a value not in the support is \( 0 \)).

Answer:

\( 0 \)