MATH 533 Week 3 Homework Problems..

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Mike Mentzer

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Mathematices

Course

MATH 533 Applied Managerial Statistics

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DeVry

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12

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z-score x Mean StDev n1 5 90 80 z=(x-μ)/σ Scores on a certain exam are normally distributed with a mean of 90 and a variance of 25. What is th z value80 mean90 variance25 Standard Deviation is the square root of standard deviation = square root of va standard deviation = square root(25) -2.00 z-score = Scores on a certain exam are normally distributed with a mean of 90 and a variance of 25. What is th z valueSt Dev mean905 variance25 LESS ThanGREATER Than P(X < x) x Precise answer 0.022750 80 x P(X > x) 22 1.000000 Which one of the following is not a characteristic of a normal distribution? If the z-value of a given x value is positive, it means that Assume a normal distribution and find the following probabilities. 70 Mean 2.87 St Dev LESS ThanGREATER Than P(X < x) x Precise answer 0.0000 25 x P(X > x) 85 0.0000 a. P(x < 25 | μ = 27 and σ = 3) b. P(x ≥ 66 | μ = 50 and σ = 7) c. P(x > 44 | μ = 50 and σ = 5) d. P(20 < x < 27 | μ = 25 and σ = 3) e. P(x ≥ 85 | μ = 70 and σ = 2.87) 50 Mean 6. Suppose X is normally distributed with mean 50 and standard deviation 4, what is P(45 < X < 58) ? 4 St Dev Precise answer LESS ThanGREATER Than P(X < x) x 0.0000 25 x P(X > x) 85 0.0000 Mean StDev 20 4 Suppose X is normally distributed with mean 20 and standard deviation 4, find the value x0 such that Inverse Calculations P( < x) x 75% 22.69796 x P( > x) 12.1601441 98% x1 (x1 < X < x2 19.74917289 5% Mean StDev 2087 172 According to the Air Transport Association of America, the average operating cost of an MD-80 jet air At what operating cost would onl

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