Problem 76f

Given information

Here, the mean of the given distribution(μx)= 8 minutes; Standard deviation for the given distribution(σx)=(μx)= 8 minutes;

And the sample size(n)=60

From the previous task, the sample mean of 60 students is normally distributed with a mean of 8 minutes and a standard deviation of  minute

Step-by-step explanation

The probability of the attention span being less than 10 minutes is represented as P(X<10)

Since the random variable X is exponentially distributed with a mean of 8 minutes, the Cumulative Distribution Function P(X<x) is given by:

Substitute x=10 in the above equation:

Thus, the probability that the attention span is less than 10 minutes is about 0.713.