Question
Calorie Level
Fiber Type High Calorie Low Calorie Totals
High Fiber 18 4 22
Medium Fiber 23 6 29
Low Fiber 12 21 33
Totals 53 31 84
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, decide if the events high calorie and high fiber are independent or dependent. Show your work.
Fiber Type High Calorie Low Calorie Totals
High Fiber 18 4 22
Medium Fiber 23 6 29
Low Fiber 12 21 33
Totals 53 31 84
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, decide if the events high calorie and high fiber are independent or dependent. Show your work.
Answers
We do not do your homework for you. If you will submit your answers, we will be glad to check your work. However, I will do the first problem to get you started.
1. total high calorie/grand total = 52/84 = 13/21. Convert to a decimal.
I hope this helps.
1. total high calorie/grand total = 52/84 = 13/21. Convert to a decimal.
I hope this helps.
2.22/84
3.53/84
4
57/84=0.6785
5.18/84
6.18/21
8. indepent high cal have 18/84 and high fiber have 53/84
3.53/84
4
57/84=0.6785
5.18/84
6.18/21
8. indepent high cal have 18/84 and high fiber have 53/84
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Discuss how the Excel command "countif" was used in the table above. Why were the ranges (such as f2:f23) used as they were?
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