The mean song length on Jacks 3 minutes and 3 seconds, with a Standard deviation of 24 seconds. Find the probability that the next song to play is no more than 3 minutes and 45 seconds.

0.9599

Step-by-step explanation:

First, convert the times to seconds.

3 min 3 sec = 183 sec

3 min 45 sec = 225 sec

Next, find the z-score.

z = (x - μ) / σ

z = (225 - 183) / 24

z = 1.75

Next, use a calculator or z score table to find the probability.

P (Z < 1.75) = 0.9599