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Chapter 6: Q. 114 (page 431)
If Jeff gets 4 game pieces, what is the probability that he wins exactly 1 prize?
a. 0.25
b. 1.00
c.
d.
e.
Option (d) is the correct answer
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Using Benford's law According to Benford's law (Exercise 15, page 377), the probability that the first digit of the amount of a randomly chosen invoice is an 8 or a 9 is 0.097. Suppose you examine randomly selected invoices from a vendor until you find one whose amount begins with an 8 or a 9 .
a. How many invoices do you expect to examine before finding one that begins with an 8 or 9 ?
b. In fact, the first invoice you find with an amount that starts with an 8 or 9 is the 40 th invoice. Does this result provide convincing evidence that the invoice amounts are not genuine? Calculate an appropriate probability to support your answer.
Kids and toys In an experiment on the behavior of young children, each subject is placed in an area with five toys. Past experiments have shown that the probability distribution of the number X of toys played with by a randomly selected subject is as follows:
Part (a). Write the event “child plays with 5 toys” in terms of X. Then find its probability.
Part (b). What’s the probability that a randomly selected subject plays with at most 3 toys?
Bag check Thousands of travelers pass through the airport in Guadalajara,
Mexico, each day. Before leaving the airport, each passenger must go through the customs inspection area. Customs agents want to be sure that passengers do not bring illegal items into the country. But they do not have time to search every traveler's luggage. Instead, they require each person to press a button. Either a red or a green bulb lights up. If the red light flashes, the passenger will be searched by customs agents. A green light means "go ahead." Customs agents claim that the light has probability of showing red on any push of the button. Assume for now that this claim is true. Suppose we watch 20 passengers press the button. Let the number who get a red light. Here is a histogram of the probability distribution of :
a. What probability distribution does R have? Justify your answer.
b. Describe the shape of the probability distribution.
In debt? Refer to Exercise 100.
a. Justify why D can be approximated by a normal distribution.
b. Use a normal distribution to estimate the probability that or more adults in the sample have more debt than savings.
Get on the boat! Refer to Exercise 3. Find the mean of Y. Interpret this value.
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