Math 221
Week 4 Lab
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Part 1. Cross-Reference Tables and Probability
1. What is the probability that the cereal would be high calorie? In other words, what is P(high calorie)?
2. What is the probability that the cereal would be high fiber? In other words, what is P(high fiber)?
3. What is the probability that a cereal would both high calorie and high fiber? In other words, what is P(high calorie and high fiber)?
4. What is the probability that a cereal would either high calorie or high fiber? In other words, what is P(high calorie or high fiber)?
5. What is the probability that a cereal would be high calorie, given that it is high fiber? In other words, what is P(high calorie, given high fiber)?
6. What is the probaility that a cereal would be high calorie, given that is is low fiber? In other words, what is P(high calorie, given low fiber)?
7. Regarding Questions 5 and 6, how might you interpret this information as a consumer?
8. Using the simple test of independence (described in the lecture), decide if the events high calorie and high fiber are independent or dependent. Show your work.
9. Discuss how the Excel command "countif" was used in the table above. Why were the ranges (such as f2:f23) used as they were?
Week 4 Lab
Part II Questions
1) Fifty-four percent of men consider themselves basketball fans. You randomly select 10 men and ask each if he considers himself a basketball fan. Find the probability that the number who consider themselves basketball fans is (a) exactly eight, (b) at least eight, and (c) less than eight.
2) Ten percent of adults say oatmeal raisin is their favorite cookie. You randomly select 12 adults and ask each to name his or her favorite cookie. Find the probability that the number who say oatmeal is their favorite cookie is (a) exactly four, (b) at least four, and (c) less than four.
Week 4 Lab
Part 3: Poisson Distribution
1) A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the 20th century, the mean number of major hurricanes to strike the U.S. mainland per year was about 0.7. Find the probability that in a given year a) exactly one major hurricane will strike the U.S. mainland, b) at most one major hurricane will strike the U.S. mainland, and c) more than one major hurricane will strike the U.S. mainland.
2) The mean number of days with 0.01 inch or more precipitation per month for Lewistown, Idaho, is about 8.7. Find the probability that in a given month a) there are exactly 9 days with 0.01 inch or more precipitation, b) there are at most 9 days with 0.01 inch or more precipitation, and c) there are more than 9 days with 0.01 inch or more precipitation.
