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Complementary events
1. A pair of fair dice is rolled. Let E denote the event that the number landing uppermost on the first die is a 3, and let F denote the event that the sum of the numbers landing uppermost is 6. Determine whether E and F are independent events.
2. Explain why the following statement is incorrect.The probability that a bus will arrive late at the Civic center is 0.35, and the probability that it will be on time or early is 0.60.
3. Copykwik has four photocopy machines: A, B, C and D. The probability that a given machine will break down on a particular day is
P(A) = 1/50, P(B) = 1/60, P(C) = 1/75, P(D) = 1/40 .
Assuming independence, what is the probability on a particular day that
a. All four machines will break down?b. None of the machines will break down?
Apply the product limit method to determine the survival function
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As reported by Runner's World magazine, the times of the finishers in the New York City 10-km run are normally distributed with a mean of 61 minutes and a standard deviation of 9 minutes. Let X be the finishing time for a finisher in the New York ..
Perform the last step in the hypothesis test. Do you reject the null hypothesis or fail to reject the null hypothesis?
Find number of ways using permutation
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Find the equation of the line drawn between two points - Write the equation of the line with slop -2 and passing through the point (4, -3).
Find the cost of the shortest length of carpet.
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