Terri Vogel, an amateur motorcycle racer, averages XXXXXXXXXXseconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.27 seconds . The distribution of her race times is normally...

Terri Vogel, an amateur motorcycle racer, averages 129.65 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation of 2.27 seconds . The distribution of her race times is normally distributed. We are interested in one of her randomly selected laps. (Source: log book of Terri Vogel) Let X be the number of seconds for a randomly selected lap. Round all answers to 4 decimal places where possible.


a. What is the distribution of X? X ~ N(Correct,Correct)


b. Find the proportion of her laps that are completed between 128.6 and 130.97 seconds.


c. The fastest 3% of laps are under  seconds.


d. The middle 60% of her laps are from  seconds to  seconds.

Hint: