Question

Use the following information for questions (5)-(6). The average travel time to work for a person...

Use the following information for questions (5)-(6). The average travel time to work for a person living and working in Kokomo, Indiana is 17 minutes. Suppose the standard deviation of travel time to work is 4.5 minutes and the distribution of travel time is approximately normally distributed.

Approximately what percentage of people living and working in Kokomo have a travel time to work that is less than 12.5 minutes? Round to the nearest whole percent

a. 16%

b. 68%

c. 5%

d. 84%.

What is the probability that a person living and working in Kokomo has a travel time to work that is no more than 15 minutes? Round to the nearest hundredth.
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution :

Given that,

mean = = 17

standard deviation = = 4.5

P(X<12.5 ) = P[(X- ) / < (12.5-17) / 4.5]

= P(z <-1 )

Using z table

= .0.1587

=15.87%

  

b

P(X>15 ) = P[(X- ) / < (15-17) / 4.5]

= P(z <-1 )

Using z table

= 1-0.3300

=0.6700

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