Question

The lengths of a professor's classes has a continuous uniform distribution between 49.2 min and 55.5 min. One class is randomly selected. If P(x > c) = 0.488 , find c

Answer 1

Answer:

52.4 min

Step-by-step explanation:

100% of the times are between 49.2 min and 55.5 min.

48.8% of the times are between x and 55.5 min.

Write a proportion:

(55.5 − 49.2) / 1 = (55.5 − x) / 0.488

0.488 (55.5 − 49.2) = 55.5 − x

3.0744 = 55.5 − x

x = 52.4256

Rounded to the tenths place, the time is 52.4 min.