# HW5 - Stat 4714 Fall 2010 HW 5 Chapter 4 Continuous Distributions Due Tuesday September 28th at 5pm 1 The probability density function of the net

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Stat 4714 Fall 2010 HW 5: Chapter 4 Continuous Distributions Due Tuesday September 28 th at 5pm 1) The probability density function of the net weight (in lbs.) of a packaged chemical herbicide is f(x) = 2.0 for 49.75 <X< 50.25 pounds. a) Determine the probability that the package weighs more than 50.20 pounds. b) Determine the probability that the package weighs between 49.75 and 50.15 pounds. c) Find the mean and standard deviation of the probability distribution. 2) Find the value of k that makes this function a valid probability distribution function for a continuous variable: f(x) = k(x+1)/27 for 2 < x < 5. 3) Suppose X is a binomial random variable with n = 100 and p = 0.60. a) Verify that is it appropriate to use the normal approximation to the binomial. b) Find the probability that X is less than 42. c) Find the probability that X is greater than or equal to 35. d) Find the probability that X is equal to 58. 4)

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## This note was uploaded on 01/17/2011 for the course STAT 4714 at Virginia Tech.

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HW5 - Stat 4714 Fall 2010 HW 5 Chapter 4 Continuous Distributions Due Tuesday September 28th at 5pm 1 The probability density function of the net

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