Homework01Chapter02

# Homework01Chapter02 - 100 CHAPTER 2 Fundamentals of...

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100 CHAPTER 2 Fundamentals of Discrete Probability Dana Meseroll thought things over. She felt very uneasy about the possibility of installing the G-LAN, having it not perform up to specifications, and suffering the embarrassment of having to rebuild it, reship it, and reinstall it. She guessed that this embarrassment could cost the company around \$100,000 in lost goodwill, reputation, and/or effects on future earnings. Assignment: If you were Dana Meseroll, what decision strategy would you recommend? EXERCISES EXERCISE2.1A four-sided die is engraved with the numbers 1 through 4 on its four different sides. Suppose that when rolled, each side (and hence each number) has an equal probability of being the bottom face when it lands. Weroll two such dice. Let X be the sum of the numbers on the bottom faces of the two dice. (a) What is the probability that X is at least five? (b) How does your answer to (a) change if you are told that the bottom face of the first die has the number "3" on it? (c) How does your answer to (a) change if you are told that the bottom face of oneof the dice has the number "3" on it? EXERCISE 2.2 We toss a coin three times. Let the outcome of this experiment be the sequence of heads (H) and tails (T) resulting from the three tosses. (a) Enumerate all of the possible outcomes of this experiment. (b) What is the probability of the outcome "HHT"? (c) What is the probability of the event "The first two tosses resulted in heads"? (d) What is the probability of the event "There were two heads in a row among the three tosses"? EXEROSE 2.3Suppose that there are 100MBA students in the first-year class. Of these students, 20 of them have two years of work experience, 30 have three years of work experience, 15 have four years of work experience, and 35 have five or more years of work experience. Suppose that a first-year MBA student is selected at random. (a) What is the probability that this student has at least four years of work experience? (b) Suppose that you are told that this student has at least three years of work expe- rience. What is the conditional probability that this student has at least four years of work experience? EXERCISE 2.4 An oil company is drilling for oil at three promising sites. Accord- ing to geological tests, the probabilities of finding oil at these three sites are 0.70, 0.85, and 0.80, respectively. The presence of oil at anyone of the sites is presumed to be independent of the presence of oil at any of the other sites. (a) What is the probability of finding oil at all three of the sites? (b) What is the probability of not finding oil at any of the three sites?

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TABLE 2.25 Television advertising costs and viewers. 2.15
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Homework01Chapter02 - 100 CHAPTER 2 Fundamentals of...

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