In: Statistics and Probability
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 50.25 and 51.25 minutes. Find the probability of selecting a class that runs between 50.25 and 51.25 minutes.
SOLUTION:
From given data,
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 50.25 and 51.25 minutes. Find the probability of selecting a class that runs between 50.25 and 51.25 minutes.
The lengths of her classes are uniformly distributed between 48.0 and 53.0 minutes.
X has uniform distribution with parameters
= 48
= 53
The probability that a given class period runs between 50.25 and 51.25 minutes.
P(50.25 < < 51.25 ) = (50.25 - 51.25 ) / ( - )
P(50.25 < < 51.25 ) = (50.25 - 51.25 ) / (53 - 48)
P(50.25 < < 51.25 ) = - 1 / 5
P(50.25 < < 51.25 ) = - 0.2