MATH 533 Week 3 Homework Problems.

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Mike Mentzer

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Mathematices

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MATH 533 Applied Managerial Statistics

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DeVry

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5

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MATH 533 WEEK 3 HOMEWORK Scores on a certain exam are normally distributed with a mean of 90 and a variance of 25. What is the z-value for a score of 80? 1.0 -2.0 2.0 0.4 -0.4 Scores on a certain exam are normally distributed with a mean of 90 and a variance of 25. What is the probability of obtaining a score less than 80? 0.6554 0.3446 0.0228 0.9772 0.9982 Which one of the following is not a characteristic of a normal distribution? Continuous Symmetrical about its mean Discrete Unimodal If the z-value of a given x value is positive, it means that. Probability of getting a value below x is negative The x value is above the mean of the distribution The value of x is positive The standard deviation of the distribution is negative Assume a normal distribution and find the following probabilities. (Round the values of z to 2 decimal places. Round your answers to 4 decimal places.) (a) P(x < 24 | μ = 27 and σ = 3) ANS 0.1587 (b) P(x ≥ 45 | μ = 30 and σ =

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