Tuesday, October 13, 2009

Stat Problems for 10/14/09

  1. The average number of homes sold by the Acme Realty company is 2 homes per day. What is the probability that exactly 3 homes will be sold tomorrow?
  2. Suppose the average number of lions seen on a 1-day safari is 5. What is the probability that tourists will see fewer than four lions on the next 1-day safari?
  3. Find the probability of getting exactly 52 heads when flipping a fair coin 100 times.
  4. Suppose a die is tossed 5 times. What is the probability of getting exactly 2 fours?
  5. A baseball team is having a 10 game homestand. If the probability that they win a game at home is 0.6, find the probability that they win between 5 and 8 games on this homestand.
  6. Assume oil tankers have a 99.9% success rate leaving the terminal at Valdez, Alaska. What is the probability of zero accidents in 5,000 trips? (A problem I gave to my students in Alaska many years ago!)
  7. What is the probability of rolling a dice 6 ti

    Valdez, AlaskaImage via Wikipedia

    mes before getting a six (six-sided)?