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1. Income tax returns. In 2004, the Internal Revenue Service received 312,226,042 individual tax returns. Of these, 12,757,005 reported an adjusted gross income of at least $100,000, and 240,128 reported at least $1 million.27 If you know that a randomly chosen return shows an income of $100,000 or more, what is the conditional probability that the income is at least $1 million?
2. Conditional probabilities and independence. Using the information in Exercise 4.109, answer these questions.
(a) Given that a vehicle is imported, what is the conditional probability that it is a light truck?
(b) Are the events "vehicle is a light truck" and "vehicle is imported" independent? Justify your answer.
on average 9 babies are born per 24-hour day at a hospital in indianapolis.a what is the probability that at least one
suppose that we have a sample space s e1 e2 e3 e4 e5 e6 e7 where e1 e2 . . . e7 denote the sample points. the
What is the probability you pick a plum and Which of the following is a legitimate probability distribution for this situation
What proportion of children 10 to 15 years of age have total cholesterol between 180 and 190? B. what proportion of children 10 to 15 years of age would be classified.
You are asked by the owner of the Starshine Motel to develop a customer satisfaction survey to determine the percentage of customers who are dissatisfied with service.
Suppose that once a prize is rejected it is lost, and that our objective is to maximize the probability of obtaining the best prize. Assuming that all n! orderings of the prizes are equally likely, how well can we do?
A business manager in a health-care facility has been investigating the cost of maintaining patients within its plan. A sample of 15 cases (different from those in WQ2) for the last month reported the following:
1 two events cannot be both independent and mutually exclusive. t or f2 the probability that event a and event b will
Intuition suggests that X will be close to n p. To see if this is true, we can repeat this experiment many times and average theX values. Carry out a simulation and compare the average of the X's to n p. Try this for p = .3 and n = 10, n = 100, and n..
the distribution of the sat scores in math for an incoming class of business students has mean of 580 and standard
Show that this function satisfies the requirements of a probability distribution function and calculate the expected (mean) value of x
a companys construction time follows a normal distribution. the mean time to construct a building is 100 days and the
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