Mathematics, 14.04.2020 23:32 adrian08022
The voters in California are voting for a new governor. Of the voters in California, a proportion p will vote for Frank, and a proportion 1 − p will vote for Tony. In an election poll, a number of voters are asked for whom they will vote. Let Xi be the indicator random variable for the event "the ith person interviewed will vote for Frank."1 A model for the election poll is that the people to be interviewed are selected in such a way that the indicator random variables X1, X2, ... are independent and have a Ber(p) distribution. (a) Suppose we use X¯ n to predict p. According to Chebyshev’s inequality, how large should n be (how many people should be interviewed) such that the probability that X¯ n is within 0.2 of the "true" p is at least 0.9? (Hint. solve this first for p = 1/2, and use the fact that p(1 − p) ≤ 1/4 for all 0 ≤ p ≤ 1.) (b) Answer the same question, but now X¯ n should be within 0.1 of p. (c) Answer the question from part (a), but now the probability should be at least 0.95. (d) If p > 1/2, then Frank wins; if X¯ n > 1/2, you predict that Frank will win. Find an n (as small as you can) such that the probability that you predict correctly is at least 0.9, if in fact p = 0.6. 7. Let X1, X2, ..., X144 be independent and identical
Answers: 1
Mathematics, 21.06.2019 17:30, davidgarcia522083
Which expression can be used to determine the slope of the line that passes through the points -6, three and one, -9
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Mathematics, 21.06.2019 18:00, hannahchristine457
Agroup of students want to create a garden. they do not know the exact measurements but they propose using a variable to represent the length and width of the garden. the length of the garden is 10 feet longer than double the width. use a single variable to write algebraic expressions for both the length and width of the garden. write an algebraic expression for the area of the garden. use mathematical terms to describe this expression.
Answers: 3
Mathematics, 21.06.2019 22:20, twentyonepilots12018
Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m? -15m = -4m -7m - 8 = m - 4 -3m - 8 = 4 - m m - 4 = -7m - 8 -8 - 7m = -4 + m -8 - 3m = 4 - m
Answers: 1
The voters in California are voting for a new governor. Of the voters in California, a proportion p...
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