Class_Problems_13

# Class_Problems_13 - Problem 1 In a class there are 4...

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Problem 1. In a class, there are 4 freshman boys, 6 freshman girls, and 6 sophomore boys. How many sophomore girls must be present if sex and grade level are to be independent when a student is selected at random? (Assume that there are no students of other grade levels in the class.) Problem 2. Let A be the event that I miss class on Wednesday. Let B be the event that Bailey misses class on Wednesday. Let C be the event that there is a huge snowstorm on Tuesday night. Discuss the independence and conditional independence of these events. Problem 3. Let A be the event that an automatic sprinkler system runs on a given day. Let B be the event that it rains on the same given day. Let C be the event that the ground is wet. Discuss the independence and conditional independence of these events.

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Problem 4. There is a 50-50 chance that the queen carries the gene for hemophilia. If she is a carrier, then each prince has a 50-50 chance of
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• Summer '08
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• Probability, Probability theory, English-language films, Fire sprinkler, The Queen, conditional independence, recessive X-linked disease

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