Assignment-Quiz 3 (statistics)

# Assignment-Quiz 3 (statistics) - < Z< 3 4 If X is a...

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1 WCOB 2023 Homework 3 1. Suppose X is a normally distributed random variable. Approximately what percent of the values of X are within (a) one standard deviation of its mean, (b) two standard deviations of its mean, and (c) three standard deviations of its mean? 2. A specific value of a random variable X has a corresponding Z-value equal to 2. Explain what this value of Z represents. 3. Use a standard normal distribution table to determine the following probabilities. (a) P(Z < 1.80) (b) P(Z > 2.45) (c) P(–2.45 < Z < 1.80) (d) P(1.80 < Z < 2.45) (e) P(–1 < Z < 1) (f) P(–2 < Z < 2) (g) P(–3

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Unformatted text preview: < Z < 3) 4. If X is a random variable that is normally distributed with mean and variance equal to 25 and 4, respectively, determine: (a) P(X < 27) (b) P(22 < X < 27) 5. Suppose X is a random variable that is normally distributed. What additional information must be known in order to determine a probability such as P(X > 12)? 6. Suppose X is a random variable with mean and standard deviation equal to 14 and 2, respectively. How many standard deviations are the values of (a) X = 19.5 above the mean and (b) X = 7.6 below the mean?...
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## This note was uploaded on 04/11/2011 for the course WCOB 2023 taught by Professor Billthompson during the Spring '07 term at Arkansas.

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Assignment-Quiz 3 (statistics) - < Z< 3 4 If X is a...

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