Assignment 11 - Lesson 14 - Conditional Probability - Fall 2009

# Assignment 11 - Lesson 14 - Conditional Probability - Fall 2009

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Problem 1. A group of 60 randomly selected people were asked their earned highest degrees. The following table gives the result of this survey. Suppose that one person is selected at random from this group, find the following probabilities. Bachelor's Master's Doctorate Total Male 10 15 7 32 Female 12 11 5 28 Total 22 26 12 60 1. What is the probability that the person is a female?28/60 2. What is the probability that the person is a male?32/60 3. What is the probability that the person has a Bachelor’s degree?22/60 4. What is the probability that the person has a Master’s degree?26/60 5. What is the probability that the person is a male and has a Bachlor’s degree? 44/60 6. What is the probability that the person is a male and a female?60 7. Are the events “male” and “Bachelor’s degree” are mutually exclusive? Verify using the probability. Hint : The two event A and B are mutually exclusive events if P(A and B) = 0. NO 8. Are the events “male” and “female” are mutually exclusive? Verify using the probability like
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Unformatted text preview: Question 7. 9. What is the probability that the person is a male or has a Bachelor’s degree? 10. What is the probability that the person is a male or a female? 11. What is the probability that the person has a Bachelor’s degree given that he is a male? 12. What is the probability that the person is a female given that she has a Master’s degree? Problem 2. BDV-363-10: Pets In its monthly report the local animal shelter states that they currently have 24 dogs and 18 cats available for adoption. 8 of the dogs and 6 of the cats are male. Find each of the following conditional probabilities if an animal is selected at random: Hint : It might be easier to answer the questions if you construct a contingency table. Dog Cat Total Male 8 6 14 Female 16 12 28 Total 24 18 42 1. the pet is male, given that it is a cat. 2. the pet is a cat, given that is female. 3. the pet is female, given that it is a dog....
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## This note was uploaded on 06/09/2011 for the course STAT 113 taught by Professor Thaler during the Spring '11 term at CUNY Hunter.

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