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The following are some applications of the Markov inequality of Exercise 29:
(a) The scores that high school juniors get on the verbal part of the PSAT/NMSQT test may be looked upon as values of a random variable with the mean μ = 41. Find an upper bound to the probability that one of the students will get a score of 65 or more.
(b) The weight of certain animals may be looked upon as a random variable with a mean of 212 grams. If none of the animals weighs less than 165 grams, find an upper bound to the probability that such an animal will weigh at least 250 grams
Exercise 29
Show that if X is a random variable with the mean μ for which f(x) = 0 for x
This inequality is called Markov's inequality, and we have given it here mainly because it leads to a relatively simple alternative proof of Chebyshev's theorem.
Solving quadratic equations. Discriminant of a quadratic equation. Compute the value of the discriminant and give the number of real solutions to the quadratic equation.
You are the quality control manager at Mars, Inc and you want to prove the company's claim that 10% of all M & M candies are blue. Is it possible to prove that claim using methods of hypothesis testing? Why or Why not?
Calculate correlation coefficient for data below. Compute the equation for regression line if n=7, Ex=69, Ey=528 Exy=4754 and Ex^2=825
Using the constant a 5 0.3, ?t an exponentially smoothed curve to the original time series. Repeat part (c) using a 5 0.7. How has the new value for the constant affected the smoothness of the ?tted curve?
choose any time series data could be from the time series data libraryhttpwww-personel.buseco.monash.edu.auhyndmantsdl
the high school dropout rate in the state in the state for the year 2000 was 10.8 one school district who adopted the
suppose a loaf of bread cost 1.00 in 1984 and 1.80 in 2004. what is the bread price index in 2004 using 1984 as the
If 700 stolen cars are randomly selected, what is the mean and standard deviation of the number of cars recovered after being stolen?
a sample of 15 teachers from rhode island has an average salary of 35270 with a standard deviation of 3256. as ample of
Consider an experiment that results in a positive outcome with probability 0.38 and a negative outcome with probability 0.62. Create a new experiment consisting of repeating the original experiment 3 times. Assume each repetition is independent of..
Using the network sample of Example 1, estimate the total amount spent on medical care for the disease investigated. The dollar amounts for the seven people linked to the three households listed in the example are y1 = 0, y2 = 3400, y3 = 5000, y4 =..
in a region 80 of the population have brown eyes. if 12 people are randomly selected find the probability that at least
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