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Let A1 and A2 be two events related to an experiment. Given P(A1)= 1/2, P(A2)= 1/3, P(A1 ∩A2)= 1/4. Find the following probabilities
(a) P(A1 ∪ A2)
(b) P(A1c ∪ A2c)
(c) P(A1c ∩ A2c)
(d) P(A1c ∪ A2)
(e) P(A1c ∩ A2)
Henry performed a two-tailed test for an experiment in which N=24. He could not find his table of t critical values, but he remembered the tcv at df=13. He decided to compare his tobt with this tcv. Is he more likely to make a Type I or a Type II err..
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The access code for a car's security system consists of Five digits. The first digit cannot be zero and the last digit must be odd. How many different codes are available?
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The U.S. Census Bureau conducts a study to determine the time needed to complete the short form. The Bureau surveys 200 people. The sample mean is 8.2 minutes. There is a known standard deviation of 2.2 minutes. The population distribution is assumed..
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What is the probability of winning a prize in an office sweep
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Suppose a gun sprays paint in a uniform back-and-forth movement, covering an angular sweep between forty five degrees to either side, onto a screen 100cm away. Assume that the distribution of paint at a distance ±x to either side of the centre of the..
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