The probability distribution for a random variable x is given in the table X: -5,-3,-2,0,2,3 Probability: .17,.13,.33,.16,.11,.10 Find the probability that X <_-3

Question

asked Jul 6, 2022 11.8k views

2 Answers

Tarulia · Answer 1 · 2022-07-10T22:20:41+0000

Answer:

0.3 probability that
$x \leq -3$

Explanation:

The probability distribution is given in the table.

Probability that x <= -3

The values that are -3 or lower are -3 and -5. So

$P(X \leq -3) = P(X = -3) + P(X = -5)$

From the table:

P(X = -3) = 0.13, P(X = -5) = 0.17 . So

$P(X \leq -3) = P(X = -3) + P(X = -5) = 0.13 + 0.17 = 0.3$

0.3 probability that
$x \leq -3$