Question

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

Answer 1

Answer:

0.3 probability that $x \leq -3$

Step-by-step 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 $x \leq -3$