Question

The commute times (amounts of time it takes people to commute from home to work) for...

The commute times (amounts of time it takes people to commute from home to work) for people who live in a large city are bell-shaped with a mean of 65 minutes and a standard deviation of 9 minutes.

Using the Empirical Rule, what is the approximate percentage of commute times in this distribution that are greater than 83 minutes?

Homework Answers

Answer #1

Solution :

Given that,

= 65

= 9

Using Empirical rule,

P( - 2< X < + 2) = 95%

P(65 - 2 * 9 < X < 65 + 2 * 9) = 95%

P(65 - 18 < X < 65 + 18) = 95%

P(47 < X < 83) = 95%

The approximate percentage of commute times in this distribution that are greater than 83 minutes is,

P(X > 83) = 2.5%

Answer = 2.5%

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