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42 votes
42 votes
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

The probability distribution for a random variable x is given in the table. x -5 -3 -2 0 Probability-example-1
User Ghaleon
by
2.9k points

2 Answers

17 votes
17 votes

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%
User Dana Benson
by
3.3k points
11 votes
11 votes

Answer:

  • 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%
User Ejolly
by
2.7k points