Answer: The probability that a given class period runs between 51.5 and 51.75 minutes = 0.025
The probability of selecting a class that runs between 51.5 and 51.75 minutes = 0.025
Step-by-step explanation:
The probability density function for random variable x uniformly distributed in [a,b] is given by:-
Given : A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 46.0 and 56.0 minutes. Find the probability that a given class
Let x be the lengths of her classes.
Then, the probability that a given class period runs between 51.5 and 51.75 minutes will be :-
Hence, the probability that a given class period runs between 51.5 and 51.75 minutes = 0.025
The probability of selecting a class that runs between 51.5 and 51.75 minutes = 0.025