Terri Vogel, an amateur motorcycle racer, averages 129.46 seconds per 2.5 mile lap (in a 7…

Terri Vogel, an amateur motorcycle racer, averages 129.46
seconds per 2.5 mile lap (in a 7 lap race) with a standard
deviation of 2.26 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(,)
b. Find the proportion of her laps that are completed between
128.38 and 130.12 seconds.
c. The fastest 2% of laps are under seconds.
d. The middle 80% of her laps are from seconds to seconds.
Please show all step. Trying to learn. Please use calculator
equation such as normalcdf(-E99, ….) and/ or invNorm(0.02..)
thanks!