Question

The probability distribution for a

random variable x is given in the table.
-5
3
-2
0
2
3
Probability
117
.13
.33
-16
11
-10
Find the probability that x<-3

Answer 1

`P(x \le -3) =0.30`

Explanation:

Given

The attached probability distribution of x

Required

Find
`P(x \le -3)`

To do this, we consider all values of x less than or equal to-3.

So, we have:

`P(x \le -3) =P(x=-5) + P(x = -3)`

From the table:

`P(x=-5) = 0.17`

`P(x = -3) = 0.13`

So, the equation becomes

`P(x \le -3) =P(x=-5) + P(x = -3)`

`P(x \le -3) =0.17 + 0.13`

`P(x \le -3) =0.30`