Assume that the number of miles a particular brand of tire lasts before it needs to be replaced follows a normal distribution with a mean of 45,600 miles and a standard deviation of 5,800 miles.

What is the probability that the next tire of this brand sold will last:

a.more than 36,000 miles before it needs to bereplaced?

b.less than 42,000 miles before it needs to bereplaced?

c.between 45,000 and 55,000 miles before itneeds to be replaced?