A statistic 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 period time is less than 51.75 minutes
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http://www.jiskha.com/display.cgi?id=1385542021
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To find the probability that a given class period time is less than 51.75 minutes, we can use the concept of uniform distribution.
In a uniform distribution, the probability of an event occurring within a certain range is proportional to the length of that range. In this case, the total length of the possible class period times is 56.0 - 46.0 = 10.0 minutes.
To calculate the probability, we need to find the length of the range from 46.0 to 51.75 minutes. This is 51.75 - 46.0 = 5.75 minutes.
So, the probability that a given class period time is less than 51.75 minutes can be calculated as:
Probability = (length of the given range) / (total length of the possible range)
= 5.75 / 10.0
= 0.575
Therefore, the probability that a given class period time is less than 51.75 minutes is 0.575 or 57.5%.