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

Question

asked Jan 14, 2022 198k views

1 Answer

Dean Schulze · Answer 1 · 2022-01-21T13:31:10+0000

Answer:

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

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

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

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

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