Question

Suppose x is a continuous random variable with the probability distribution shown below.

What probability is represented by the shaded area?

Answer 1

The probability represented by the shaded area is obtained by calculating the difference between the cumulative probabilities at the two ends of the interval.

Step-by-step explanation:

The probability represented by the shaded area is obtained by calculating the difference between the cumulative probabilities at the two ends of the interval.

To find the probability that x is between 2.3 and 12.7, we calculate P(2.3 < x < 12.7) = P(x < 12.7) - P(x < 2.3).

Let's assume that P(x < 2.3) is 0.2 and P(x < 12.7) is 0.8. Then, the probability represented by the shaded area is 0.8 - 0.2 = 0.6.