320_hw6_ans

# 320_hw6_ans - Economics 320 Homework 6 Continuous Distributions Uniform and Normal 1 America West Airlines reports the flight time from Los Angeles

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Economics 320: Homework 6 Continuous Distributions: Uniform and Normal 1. America West Airlines reports the flight time from Los Angeles to Las Vegas is 65 minutes. Suppose the actual flying time is uniformly distributed between 60 and 70 minutes. a. Show a graph of the continuous probability distribution – draw the probability density function. b. What is the mean flight time? μ = (70-60)/10 = 65 minutes c. What is the variance of the flight times? σ 2 = (70-60) 2 / 12 = 8.33 d. What is the probability that the flight time is less than 68 minutes? P(x < 68) = (68-60)*(1/10) = 0.80 e. What is the probability that the flight takes more than 64 minutes? P(x > 64) = (70 – 64)*(1/10) = 0.40 2. Let the random variable Z follow a standard normal distribution. Find the following. a. P(Z < 1.20) P(-∞ < z < 0) = 0.5 ; P(0 < z < 1.2) = 0.3849; P(z < 1.2) = 0.849 b. P(Z > 1.33) P(0 < z < 1.33) = 0.4082; P(z > 1.33) =0.5 - 0.4082 = 0.0918 c. P(Z < -1.70) P(z < -1.70) = P( z > 1.70) = 0.5 – P(0 < z < 1.70) = 0.5 - .4554 = 0.0446 f(x) 1/10 60 70 x

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3.Suppose random variable Y is normally distributed with mean 200 and variance 6400. For
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## This homework help was uploaded on 04/22/2008 for the course ECON 320 taught by Professor Martin during the Spring '08 term at Allegheny.

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320_hw6_ans - Economics 320 Homework 6 Continuous Distributions Uniform and Normal 1 America West Airlines reports the flight time from Los Angeles

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