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Choose, at random, three points on the circle x 2 + y 2 = 1. Interpret them as cuts that divide the circle into three arcs. Compute the expected length of the arc that contains the point (1, 0). Remark. Here is a "solution." Let L1, L2, L3 be the lengths of the three arcs. Then L1 + L2 + L2 = 2π and by symmetry E(L1) = E(L2) = E(L3), so the answer is E(L1) = 2π/3. Explain why this is wrong.
A population has a mean = 80, with standard deviation = 8. The distribution of sample means for samples of size n = 4 selected from this population would have an expected value of?
Check to see whether the conditions for using a one-proportion z-test are met assuming the researcher wanted to see whether the proportion dreaming in color.
What can be said about the percentage of the time that the scale actually showed a weight that was within 0.25 ounce of the true value of 50 ounces?
the mean amount spent by a family of four on food per month is 700 with a standard deviation of 85. assuming that the
In a recent year, 11th grade New York public school students taking an English test produced test scores that were normally distributed with a mean of 81 and a standard deviation of 6. Let x be a random variable that represents a test score.
One coin is selected at random from each urn. If exactly one of them is a dime, what is the probability that the coin selected from urn 1 is the dime?
a survey of a simple random sample of university alumni finds that six months after graduation 75 of the 100 liberal
a. Construct an analysis of variance table for this regression analysis, using the same format as the printout in Exercise 10.17. Be sure to include the sources of variability, the degrees of freedom. the sums of squares, the mean squares, and th..
Suppose that when the price of cookies is $1 and the price of a slice of pizza is $1, market demand for cookies is 2,500 cookies.
A bank contains 2 Quarters, 5 dimes, and 3 Nickels. You draw two coins at random. Determine the probability distribution for the sum of the two coins drawn
In a certain city of several million people, 6.8% of the adults are unemployed. If a random sample of 260 adults in this city is selected, approximate the proba
a survey has revealed that 75 of all college students study. it is also known that 85 of all students who study will
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