A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between and minutes. Find the probability that a given class period runs between and minutes.

Question:

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 50.0 and 55.0 minutes. Find the probability that a given class period runs between 50.75 and 51.5 minutes.. (Round to three decimal places as needed.)

Step-by-step explanation:

Given

Type of distribution: Uniform Distribution

Distribution Interval: 50.0 to 55.0

Required

Determine the probability that her class is between 50.75 and 51.5

First, we need to calculate the difference between the distribution interval (D1)

Next is to calculate the difference between the probability interval (D2)

The required probability is calculated by dividing D2 by D1

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph