Chapter 15: Q23P (page 744)
Do Problem if one person is busy evenings, one is busyevenings, two are each busy one evening, and the rest are free every evening.
The required probability is .
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Let be independent random variables, each with density function , expected value , and variance . Define the sample meanby.Showthat,and . (See Problems and.)
Do Problem for particles in 2 boxes. Using the model discussed in Example role="math" localid="1654939679672" , find the probability of each of the three sample points in the Bose-Einstein case. (You should find that each has probabilityrole="math" localid="1654939665414" , that is, they are equally probable.)
Two dice are thrown. Given the information that the number on the first die iseven, and the number on the second is , set up an appropriate sample space andanswer the following questions.
(a) What are the possible sums and their probabilities?
(b) What is the most probable sum?
(c) What is the probability that the sum is even?
A card is selected from a shuffled deck. What is the probability that it is either a king or a club? That it is both a king and a club?
In paying a bill by mail, you want to put your check and the bill (with a returnaddress printed on it) into a window envelope so that the address shows right sideup and is not blocked by the check. If you put check and bill at random into theenvelope, what is the probability that the address shows correctly?
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