Suppose the times required for a cable company to fix cable problems in its customers' homes are uniformly distributed between 13 minutes and 20 minutes. what is the probability that a randomly selected cable repair visit will take at least 19 minutes? (enter the final answers reduced to the lowest possible fraction.)

Step-by-step explanation:

The probability density function for x which is uniformally distributed in interval [a,b] is given by :-

Given : The times required for a cable company to fix cable problems in its customers' homes are uniformly distributed between 13 minutes and 20 minutes.

Then,

Now, the probability that a randomly selected cable repair visit will take at least 19 minutes will be :_

Hence, the probability that a randomly selected cable repair visit will take at least 19 minutes =

, ; dcbsdkmnld

step-by-step explanation:

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6