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Toss a symmetric coin repeatedly and set
Since n - Sn equals the number of tails in n tosses, it follows that Xn = the number of heads minus the number of tails, that is the excess of heads over tails in n tosses. Show that {Xn, n ≥ 1} (together with the sequence of natural σ-algebras) is a martingale.
Extend your result from the previous problem to a general case as follows. A random sample of n elements is to be drawn from some population and arranged.
Following data on x=weight (in pounds): x 1 33.5, x2 27.3, x3 36.7, x4 30.5 Suppose that one more piece is selected; denote its weight by x5. Find a value of x5 such that X = smaple median.
Using the 0.99 confidence coefficient, what are the confidence limits for the proportion that plan to vote for the Democratic incumbent.
Records show that 13% of all college students are foreign students who also smoke. It is also known that 25% of all foreign college students smoke. What percent of the students at this university are foreign?
Is the transportation model the example of decision making under certainty or decision making under uncertainty? Provide the real-world example illustrtating why it is certainty or uncertainty.
Known that 15% of walls painted with this paint need more than 55 minutes to dry completely. Find the standard deviation of this distribution.
A and B throw with one die for a prize of Rs199 which is to be won by the player who first throws 6. If A has the first throw their respective expectation are
a random committee of size 3 is selected from 4 doctors and 2 nurses. write a formula for the probability distribution
What is the difference between this regression-predicted value and the actual price at the end of December 2000? What is your analysis of linear regression in stock-prediction scenarios?
In a pulse rate research, a simple random sample of 120 men results in a mean of 80 beats per minute, and a standard deviation of 11 beats per minute. Based on the sample results, the researcher concludes that the pulse rates of men have a standar..
A specialty foods company sells gourmet hams by mail order. The hams vary in size from 4.15 to 7.45 pounds, with a mean weight of 6 pounds.
Calculate SSR(X3|X1), that is the sequential sum of squares obtained by adding X3 to a model already containing only the predictor X1. Show your work.
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