hw3-4.sol

hw3-4.sol - a. P ( X ≤ 12) ≈ F N (-1 . 2) = 0 . 1151....

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AMS 7, Biostatistics 17. Normal Distribution (Also on Hwk 3 solutions) a. P ( X < 140) = F SN (0 . 8) = 0 . 7881. b. P ( X 130) = 1 - F SN (0 . 3) = 0 . 3821. c. P (94 < X < 154) = F SN (1 . 5) - F SN ( - 1 . 5) = 0 . 8664. d. P ( X 130) = 1 - F SN (0 . 3) = 0 . 3821. e. P ( X < 104) 3 = 0 . 1587 3 = 0 . 004 (less than 1%). 21. Normal Distribution a. P ( X 80) = 0 . 0062 ( 0.6%). b. P ( X 77) = 0 . 0401 ( 4%). 23. Normal grading Need a score of at least 82.8 points in order to get an A. 25. Normal Approximation to Binomial (Also on Hwk 3 solutions)
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Unformatted text preview: a. P ( X ≤ 12) ≈ F N (-1 . 2) = 0 . 1151. b. P ( X ≤ 12) ≈ 1-F N (-1 . 48) = 0 . 9306. Chapter 4 (Glover & Mitchell) 5. Normal Distribution a. P ( X ≤ 155) = F SN (-. 5) = 0 . 3085. b. P (125 ≤ X ≤ 215) = F SN (1 . 5)-F SN (-1 . 5) = 0 . 8664. c. P ( ¯ X ≤ 182) = F SN (2) = 0 . 9772). d. P ( ¯ X ≤ 164) = F SN (-2) = 0 . 9772). 1...
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This note was uploaded on 01/31/2010 for the course AMS 7 taught by Professor Prado,r during the Winter '08 term at UCSC.

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