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solved questions quizes library in Statistics

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Suppose that a coin is tossed iwice. Leux represent the number of heads that call come up. With each sample point we can associale a number for X as follows:
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Find the interquartile range from the following set of golf scores: S ={67, 69, 70, 71, 74, 77, 78, 82, 89)
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Find the variance and standard deviation for the following set of test scores: T = {75, 80, 82, 87, 96}
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Consider the following set of integers: S={1, 2, 3, 4, 6, 8, 9, 12} Find median
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Consider the following set of integers: S={ 1,6, 3, 8, 2, 4,9} Find median
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Consider the following set of integers: S = {1, 2, 3, 4, 5, 6, 7, 8, 9}
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Find the constant c such that the function f(x)={(cx^2 , 0<X<3 0 otherwise)┤ Is a density function
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Suppose that a game is to be played with a single die assumed fair. In this game a player wins $20 if a 2 turns up: $40 if a 4 turns up; loses $30 if a 6 turns up: while the player neither wins nor loses if any other face turns up. Find the expected sum of money to be won
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Let X be a continuous r.v has a p.f given by: f(x)={(cx^2 , 0<X<3 0 otherwise)┤
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Suppose that a game is to be played with a single die assumed fair. In this game a player wins $20 if a 2 turns up; $40 if a 4 turns up: loses $30 if a 6 turns up; while the player neither wins nor loses if any other face turns up.Find the variance for the game
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Three horses in a race. The probability that the first horse is twice as likely to win as the second horse and the second horse is 3 times as likely to win as the third horse. Find the probability that the first horse wins.
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Three horses in a race. The probability that the first horse is twice as likely to win as the second horse and the second horse is 3 times as likely to win as the third horse. Find the probability that the third horse fails.
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Three horses in a race. The probability that the first horse is twice as likely to win as the second horse and the second horse is 3 times as likely to win as the third horse. Find the probability that the first horse or the second horse win.
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