Question

The probability distribution for a

random variable x is given in the table.
x
-5 -3 -2 0
Probability 17
13 .33 16
2
.11
3
.10
Find the probability that -2 < x < 2

Answer 1

The answer is 0.6 or 60%.

The respective probabilities that lie in the interval [-2, 2] are 0.33, 0.16, and 0.11. Therefore, the probability it lies in the interval is equal to the sum of the probabilities.

• 0.33 + 0.16 + 0.11
• 0.49 + 0.11
• 0.6 = 60%

Answer 2

• 0.6 or 60%

Explanation:

According to the distribution table, the percent values within the interval of [- 2, 2] are:

• 0.33, 0.16, 0.11

Add them together to get the required answer:

• 0.33 + 0.16 + 0.11 = 0.6 or 60%