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August 2, 2015

Homework Help: Statistics for Decision

Posted by megan on Saturday, March 27, 2010 at 11:25pm.

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.

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