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6 04 02 0 4 02 1 all of the values are not greater

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Unformatted text preview: 0.1 + 0.3 = 1 This is a legitimate mass function iii) p(x) = 0.2 (3 – x) for x = 0, 1, 2, 3, 4 The mass function in table form is: x 0 1 2 3 p(x) 0.6 0.4 0.2 0 4 -0.2 1) all of the values are NOT greater than or equal to 0 2) 0.6 + 0.4 + 0.2 + 0 -0.2 = 1 This is NOT a legitimate mass function. b) For the legitimate distribution of part (a), determine the long-run proportion of cars having at most two underinflated tires p(x 2) = p(0) + p(1) + p(2) = 0.4 + 0.1 + 0.1 = 0.6 OR p(x 2) = 1 – p(x > 2) = 1 – p(3) – p(4) = 1 – 0.1 – 0.3 = 0.6 the proportion having fewer that two underinflated tires, p(x < 2) = p(0) + p(1) = 0.4 + 0.1 = 0.5 and the proportion have at least one underinflated tire. p(x 1) = 1 – p(x < 1) = 1 – p(0) = 1 – 0.4 = 0.6 OR p(x 1) = p(1) + p(2) + p(3) + p(4) = 0.1 + 0.1 + 0.1 + 0.3 = 0.6 8...
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This note was uploaded on 01/29/2014 for the course STAT 350 taught by Professor Staff during the Fall '08 term at Purdue.

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