Math 135 Week 12 Lecture Notes Bittenger 10th

# X value mean z or standard deviation the z value is

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Unformatted text preview: Example 3: Let x be a continuous random variable with a standard normal distribution. Using Table A, find each of the following probabilities. a. P ( 0 ≤ x ≤ 0.47 ) d. P ( 0.68 ≤ x ≤ 2.91) b. P ( −0.53 ≤ x ≤ 0 ) e. P ( −3.07 ≤ x ≤ −0.77 ) c. P ( −1.23 ≤ x ≤ 2.25 ) f. P ( x ≤ 1.42 ) Math 135 Class Notes – Week 12 Bittenger 10th Ed. 8 o All normally distributed variables can be transformed into the standard normally distributed variable by using the formula for the standard score. x−µ value − mean z= or σ standard deviation The z value is the number of standard deviations that a particular x value is away from the mean. z= Example 4: Let x be a continuous random variable that is normal distributed with mean µ = 18 and standard deviation σ = 5 . Using Table A, find each of the following probabilities. a. P (19 ≤ x ≤ 24 ) b. P (16 ≤ x ≤ 21) c. P...
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## This document was uploaded on 02/19/2014 for the course MATH 135 at CSU Chico.

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