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

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %

the answer is a.

135 and 80

step-by-step explanation: