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

Answer:

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

Step-by-step 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

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

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

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