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The average commute time in Oregon is 24 minutes, with a standard deviation of 4 minutes....

The average commute time in Oregon is 24 minutes, with a standard deviation of 4 minutes. For the 3 drivers in my household, what is the probability that our average commute time is over 27 minutes per day?

Solutions

Expert Solution

Solution :

mean = = 24

standard deviation = = 4

n = 3

= = 24

= / n = 4 / 3 = 2.31

P( > 27) = 1 - P( < 27)

= 1 - P[( - ) / < (27 - 24) /2.31 ]

= 1 - P(z < 1.30)

Using z table,    

= 1 - 0.9032

=0.0968

milcah answered 7 months ago
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