A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 47.047.0 and 57.057.0 minutes. Find the probability that a given class period runs between 51.551.5 and 51.7551.75 minutes.

0.025 = 2.5% probability that a given class period runs between 51.5 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 that we find a value X lower than x is between c and d is given by the following formula

For this problem, we have that:

. So

0.025 = 2.5% probability that a given class period runs between 51.5 and 51.75 minutes.

t = 3

step-by-step explanation:

put t = 3 in this expression :

(3²-1)(3²-2)(3² - 3)(3² - 4) = 8×7×6×5 = 56×30 = 1680

d

step-by-step explanation: