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Talja [164]
3 years ago
13

A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 49.049.0 and

54.054.0 minutes. Find the probability that a given class period runs between 51.2551.25 and 51.7551.75 minutes. Find the probability of selecting a class that runs between 51.2551.25 and 51.7551.75 minutes.
Mathematics
1 answer:
sveta [45]3 years ago
6 0

Answer:

10% probability that a given class period runs between 51.25 and 51.75 minutes.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability of finding a value X between c and d, d greater than c, is given by the following formula:

P(c \leq X \leq d) = \frac{d-c}{b-a}

Uniformly distributed between 49 and 54 minutes

This means that b = 54, a = 49

Find the probability that a given class period runs between 51.25 and 51.75 minutes.

P(51.25 \leq X \leq 51.75) = \frac{51.75 - 51.25}{54 - 49} = 0.1

10% probability that a given class period runs between 51.25 and 51.75 minutes.

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