Jane has several legal documents to type. Jane completes an average of 7 documents per 15 minutes. Her completion of one document is independent of any other one.

a) Let N be the number of documents Jane completes between 9:00am and 10:00am. What are the distribution, parameter(s), and support of N?
b) Determine the probability that Jane completes 30 documents between 9:00am and 10:00am.
c) What is the probability that Jane completes 58 documents between 2:00pm and 4:00pm.
d) Determine the probability that Jane completes 30 documents between 9:00am and 10:00am and 40 documents between 1:00pm and 2:30pm.
e) What is the standard deviation for the number of documents Jane will complete between 3:00pm and 5:45pm?
f) If Jane is paid at a rate of 1 dollar and 25 cents per document how much can she expect to make for a day in which she has 6 and a half hours of straight typing?