Winter lasts from December 21 through

March 21. The average

winter temperature in Boston is

Normally distributed with mean

= 32.5 F and standard deviation s = 1.59 F. In New York City,

the

average winter temperature is Normally distributed with mean

= 35.4 F and standard deviation s =

2

.05 F.

(a) What is the probability that the average winter temperature in

Boston this coming winter will be

above freezing (32 F)?

(b) Assume that average winter temperatures in Boston and New

York are independent. What is the

probability that the ave

rage

temperature in Boston in the coming winter will be higher than

in New

York?