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Chapter 8: Problem 35
Steffi feels that the odds in favor of her winning her tennis match tomorrow are 7 to \(5 .\) What is the (subjective) probability that she will win her match tomorrow?
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The normal daily minimum temperature in degrees Fahrenheit for the months of January through December in San Francisco follows: $$ \begin{array}{llllll} 46.2 & 48.4 & 48.6 & 49.2 & 50.7 & 52.5 \\ 53.1 & 54.2 & 55.8 & 54.8 & 51.5 & 47.2 \end{array} $$ Find the average and the median daily minimum temperature in San Francisco for these months.
Use the formula \(C(n, x) p^{x} q^{n-x}\) to determine the probability of the given event. Let \(X\) be the number of successes in five independent trials in a binomial experiment in which the probability of success is \(p=\frac{2}{5}\). Find: a. \(P(X=4)\) b. \(P(2 \leq X \leq 4)\)
VoTERS In a certain congressional district, it is known that \(40 \%\) of the registered voters classify themselves as conservatives. If ten registered voters are selected at random from this district, what is the probability that four of them will be conservatives?
The IQs of students at Wilson Elementary School were measured recently and found to be normally distributed with a mean of 100 and a standard deviation of 15 . What is the probability that a student selected at random will have an \(\mathrm{IQ}\) a. Of 140 or higher? b. Of 120 or higher? c. Between 100 and 120 ? d. Of 90 or less?
Bob, the proprietor of Midway Lumber, bases his projections for the annual revenues of the company on the performance of the housing market. He rates the performance of the market as very strong, strong, normal, weak, or very weak. For the next year, Bob estimates that the probabilities for these outcomes are \(18, .27\), \(.42, .10\), and \(.03\), respectively. He also thinks that the revenues corresponding to these outcomes are \(\$ 20, \$ 18.8\), \(\$ 16.2, \$ 14\), and \(\$ 12\) million, respectively. What is Bob's expected revenue for next year?
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