Motorcycles with a certain type of mileage that're normally distributed with a mean of 23.9 mpg...

Motorcycles with a certain type of mileage that're normally distributed with a mean of 23.9 mpg with a standard deviation of 1.2 mpg. If 13 motorcycles of this type are randomly selected, find the probability that their average mileage is between 24 and 26 mpg.

Solutions

Expert Solution

Solution :

Given that ,

mean = = 23.9

standard deviation = = 1.2

n = 13

= 23.9

= / $\sqrt$ n= 1.2 / $\sqrt$ 13=0.3328

P(24< <26 ) = P[(24-23.9) / 0.3328 < ( - ) / < (26-23.9) /0.3328 )]

= P(0.30 < Z < 6.31)

= P(Z <631 ) - P(Z <0.30 )

Using z table

=1-0.6179

=0.3821

probability= 0.3821

orchestra answered 1 year ago

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