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The following standard normal distribution table

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Unformatted text preview: culated the areas below the standard Normal density function with di↵erent cuto↵s (way before the computer age...), and we can look up the probabilities from the table. Remark. The following standard Normal distribution table (handout) gives the probability that a standard normal random variable, Z , falls between the values of 0 and some z > 0, i.e. P (0 < Z ≤ z ). Example 3.1. Q: Suppose Z follows the standard Normal distribution, using the standard normal distribution table to find the probability that 0 < Z ≤ 1.96. A: standard normal pdf: fZ (x) 0 1.96 x • Step 0 (Identify the cuto↵ z ): z = 1.96; • Step 1 (Locating the corresponding row by finding the first two digits of z on the left column): row = “1.9”; • Step 2 (Locating the corresponding column by finding the last digit of z on the top row): column = “0.06”; • Step 3 (Read the probability o↵ the table): P (0 < Z ≤ 1.96) = 0.475. Example 3.2. Q: Suppose Z follows the standard...
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This document was uploaded on 03/27/2014 for the course MA 107 at Quinnipiac.

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