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Chapter 5: Q 4.1. (page 323)
During World War II, the British found that the probability that a bomber is lost through enemy action on a mission over occupied Europe was Assuming that missions are independent, find the probability that a bomber returned safely from missions.
The probability is
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Box of chocolates According to Forrest Gump, 鈥淟ife is like a box of chocolates. You never know what you鈥檙e gonna get.鈥� Suppose a candy maker offers a
special 鈥淕ump box鈥� with chocolate candies that look the same. In fact, of the candies have soft centers and 6 have hard centers. Choose of the
candies from a Gump box at random.
(a) Draw a tree diagram that shows the sample space of this chance process.
(b) Find the probability that one of the chocolates has a soft center and the other one doesn鈥檛.
Free throws A basketball player has probability of making a free throw. Explain how you would use each chance device to simulate one free throw by the player.
(a) A six-sided die
(b) Table D of random digits
(c) A standard deck of playing cards
Twenty of a sample of students say they are vegetarians. Of the vegetarians, eat both fish and eggs, eat eggs but not fish, and eat neither. Choose one of the vegetarians at random. What is the probability
that the chosen student eats neither fish nor eggs?
(a) (c) (e)
(b) (d)
Foreign-language study Choose a student in grades to at random and ask if he or she is studying a language other than English. Here is the distribution of results:
(a) What鈥檚 the probability that the student is studying a language other than English?
(b) What is the conditional probability that a student is studying Spanish given that he or she is studying some language other than English?
Rolling a die The following figure displays several possible probability models for rolling a die. We can learn which model is actually accurate for a particular die only by rolling the die many times. However, some of the models are not legitimate. That is, they do not obey the rules. Which are legitimate and which are not? In the case of the illegitimate models, explain what is wrong.
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