Question

g A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 48.0 and 53.0 minutes. Find the probability that a given class period runs between 51.25 and 51.5 minutes

Answer 1

Answer: 0.025

Step-by-step explanation:

Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between interval : [48.0 minutes, 53.0 minutes]

Let x be the lengths of her classes that are uniformly distributed between interval : [48.0 minutes, 53.0 minutes].

The probability density function for the given situation  :-

$f(x)}=\dfrac{1}{55-45}=\dfrac{1}{10}$

The probability that a given class period runs between 51.25 and 51.5 minutes is given by :-

$P(51.25$

Hence, the probability that a given class period runs between 51.25 and 51.5 minutes is 0.025 .