Chapter 8: Problem 9
Find \(C(n, x) p^{x} q^{n-x}\) for the given values of \(n, x\), and \(p\). n=6, x=5, p=.4
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Chapter 8: Problem 9
Find \(C(n, x) p^{x} q^{n-x}\) for the given values of \(n, x\), and \(p\). n=6, x=5, p=.4
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SALES PREDICTIONS From experience, the manager of Kramer's Book Mart knows that \(40 \%\) of the people who are browsing in the store will make a purchase. What is the probability that, among ten people who are browsing in the store, at least three will make a purchase?
Use the formula \(C(n, x) p^{x} q^{n-x}\) to determine the probability of the given event. The probability of exactly no successes in five trials of a binomial experiment in which \(p=\frac{1}{3}\)
According to data released by the Chamber of Commerce of a certain city, the weekly wages (in dollars) of female factory workers are normally distributed with a mean of 575 and a standard deviation of 50 . Find the probability that a female factory worker selected at random from the city makes a weekly wage of $$\$ 550$$ to $$\$ 650$$.
Use the appropriate normal distributions to approximate the resulting binomial distributions. A marksman's chance of hitting a target with each of his shots is \(60 \%\). (Assume that the shots are independent of each other.) If he fires 30 shots, what is the probability of his hitting the target a. At least 20 times? b. Fewer than 10 times? c. Between 15 and 20 times, inclusive?
The scores on a sociology examination are normally distributed with a mean of 70 and a standard deviation of 10 . If the instructor assigns A's to \(15 \%\), B's to \(25 \%\), C's to \(40 \%\), D's to \(15 \%\), and F's to \(5 \%\) of the class, find the cutoff points for grades \(\mathrm{A}-\mathrm{D}\).
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