1. Mrs. Jacobsin would like to purchase a new 750 to 1000 CC racing motorcycle. Costs of such motorcycles are known to be normally distributed, with a mean of $13422 and a standard deviation of $2544. If he is to purchase one motorcycle.

a)What is the probability that it will cost more than $15550?

b)What is the probability that is will cost more than $ 12250?

c)What is the probability that it will cost between $ 12250 and $ 17000?

d)What costs separate the middle 85% of all motorcycles from the rest of the motorcycles

e)What cost separates the top 11 % of all motorcycles from the rest of the motorcycles

Can you show work please and draw distribution if possible