Poisson 39'6

1
Problem 3.

• Poisson (?39.6)
• Negative Binomial (r1, p0.12)
• Binomial (n475, p0.03)
• Binomial (n200, p0.985)

2
Problem 4.
3
Problem 5.

• Use binomial to obtain range of expected outcomes
  for a fair coin (p0.5) flipped n times
• If n50, 95 of outcomes will be between 17.9 and
  32.1
• If n300, 95 of outcomes will be between 132.7
  and 167.3

4
Problem 6.

• Use binomial to obtain range of expected outcomes
  for a bank meeting the benchmark (p0.7) that
  processes n187 loan applications
• 95 of outcomes will be between 118.4 and 143.4

5
Problem 7.
Customer
Drive Up
Walk In
0.2
0.8
Walk In
Teller
Loan
0.85
0.95
0.05
0.15
Loan
Teller
0.85
0.15
6
Problem 8.

• Use binomial to obtain range of expected outcomes
  for a school meeting the benchmark (p0.045) that
  includes n400 seniors
• 95 of outcomes will be between 9.7 and 26.3

7
Problem 9.

• Use Poisson to obtain range of expected outcomes
  for a road that averages ? 7 accidents in a
  6-month period
• 95 of outcomes will be between 1.7 and 12.3

8
Problem 10.

• Use Poisson to obtain range of expected outcomes
  for a sample of lumber that averages ? 9
  imperfections per sample
• 95 of outcomes will be between 3.0 and 15.0