Answer:
P(x > 5.3) = 0.3375
The probability that the random variable has a value greater than 5.3 is 0.3375.
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.