# Additional problems_2 on statistical distributions -...

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Additional problems_ 2 on statistical distributions.doc // Consider at first handouts #6b, 6a, the file // Binomial Probability Distribution.doc, // and HW #4 (part 1); then - handout #7 // and HW #4 (part 2); then - handout #8 // and HW #5. Apr 4’10 Normal distribution problems //Use the program Three_Distributions.doc , sheet 3 1. A normally distributed random variable, X , has the theoretical mean, µ , of 25.0 and the standard deviation, σ , of 5.0 . Find the probability that the random variable, X , takes on values in the interval [30, 35] . Solution . The asked for probability is P(30 X ≤ 35). Use Three_Distributions.doc , sheet 3. µ = 25 G58, σ = 5 G59 x = 35 G57 ; the result in the cell I59 is: 0.97725 x = 30 G57 ; the result in the cell I59 is: 0.841345 I59 I59 P(30 X ≤ 35) = f(X ≤ 35) f(X ≤ 30) = 0.97725 0.841345 = 0.135905 Problem 4.7.5 on pg. 123, Biostatistics textbook. If the total cholesterol values for a certain population are approximately normally distributed with a mean of 200 mg/100 ml and a standard deviation of 20 mg/100ml, find the probability that an individual picked at random from this population will have a cholesterol value: a ) Between 180 and 200 mg/100 ml

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## This note was uploaded on 11/24/2011 for the course MATH 3000 taught by Professor Kzaer during the Spring '05 term at St. Johns College MD.

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Additional problems_2 on statistical distributions -...

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