A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.

Question

2 years ago

5

0 minutes. Find the probability that a given class period runs between 50.75 and 51.25 minutes.

1 answer:

barxatty [35] · Answer 1 · 2022-06-02T07:13:59+03:00

Answer: 0.05

Step-by-step explanation:

Given : Interval for uniform distribution : [46.0 minutes, 56.0 minutes]

The probability density function will be :-

$f(x)=\dfrac{1}{56-46}=\dfrac{1}{10}=0.1\ \ , 46$

The probability that a given class period runs between 50.75 and 51.25 minutes is given by :-

$P(50.75$

Hence, the probability that a given class period runs between 50.75 and 51.25 minutes = 0.05