High School

The lengths of a professor's classes have a continuous uniform distribution between 50.0 minutes and 52.0 minutes. If one such class is randomly selected, find the probability that the class length is more than 51.7 minutes.

Answer :

The probability that the class length is more than 51.7 min is 0.3 or 30%.

To solve the problem, we first need to find the total possible outcomes, which is the range of class lengths between 50.0 min and 52.0 min, which is 2.0 min. Since the distribution is uniform, each possible class length within this range is equally likely.

Next, we need to find the favorable outcomes, which is the range of class lengths that are more than 51.7 min. This range is 52.0 min minus 51.7 min, which equals 0.3 min.

To find the probability, we divide the number of favorable outcomes by the total number of possible outcomes:

Probability = (favorable outcomes) / (total outcomes) = 0.3 min / 2.0 min = 0.15 or 15%.

Therefore, the probability of a randomly selected class length being more than 51.7 min is 0.3 or 30%.

To know more about probability, refer here:

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