A study on the average minutes spent by students on internet usage is 300 with a standard deviation of 102. Answer the following questions assuming a bell-shaped distribution and using the empirical rule. What percentage of students use the internet for more than 402 minutes?.



Answer :

16% of students use the internet for more than 402 minutes.

Given that students use the internet for 300 minutes on average every day

102 as the standard deviation

P is the percentage of students who uses more than 402 minutes of internet.

To calculate the percentage:

As per the empirical rule,

The majority of people (68%) are within 1 standard deviation of the mean.

The mean is within 2 standard deviations of 95% of the population.

The mean and 3 standard deviations are shared by 99.7% of the population.

This will serve as an illustration of the percentage:

= P(X > 402)

= P(X > 30 + 1 × 102)

= (1 - 0.68) / 2

= 0.32/2

= 0.16

= 0.16 x 100

= 16%

Thus, the percentage of students who use the internet for more than 402 minutes is 16%.

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