Question

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.

Answer 1

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.)

Answer:

$Probability = 0.150$

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)

$D1 = 55.0 - 50.0$

$D1 = 5.0$

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

$D2 = 51.50 - 50.75$

$D2 = 0.75$

The required probability is calculated by dividing D2 by D1

$Probability = \frac{D2}{D1}$

$Probability = \frac{0.75}{5.0}$

$Probability = 0.150$