I need help on how to do problem # 1

P(x > 5.3) = 0.3375

The probability that the random variable has a value greater than 5.3 is 0.3375.

Step-by-step explanation:

To find the probability that the random variable has a value greater than greater 5.3, we would find the area under the density curve,

P(x > 5.3) =

Area        = length * height

Area        = (8-5.3) * 0.125

P(x > 5.3) = 0.3375

The probability that the random variable has a value greater than 5.3 is 0.3375.

- both graphs increase on their domain.

- the graphs of both functions have the same x-intercept.

- neither graph has a y-intercept.