File705.Review #1 (1)

# File705.Review #1 (1) - Hatfield Stat 211 Review Exam 1 1...

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Hatfield – Stat 211 Review Exam 1 1

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#1 You’re sitting on “Go” in Monopoly, what is the expected profit or loss resulting from your next roll, if the outcomes of those rolls are as listed below ; – (a) \$ 200.34 – (b) \$ 15.50 – (c) -\$ 266.25 – (d) -\$ 135.60 – (e) \$ 0.00 2 Roll 2 Roll 3 Roll 4 Roll 5 Roll 6 Roll 7 +75 -40 -60 -200 -500 +80 Roll 8 Roll 9 Roll 10 Roll 11 Roll 12 -500 -600 +0 -800 -80
#2 Given the following pdf; f(x) = 3x+7 for 0 < x < 1 1) Is this a valid pdf ? 2) What’s P(x < .40) for the valid pdf? – (a) 1) no and 2) 1.23 – (b) 1) yes and 2) 3.08 – (c) 1) yes and 2) 0.24 – (d) 1) no and 2) 0.36 – (e) 1) yes and 2) 0.54 3

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#3 How do you calculate the mean and variance of a discrete random variable ? – (a) The mean is the measure of central tendency and the variance is the spread of the distribution. – (b) The mean, E(X) is the weighted average of the outcomes times their corresponding probabilities. The variance is the difference between E(X^2) and E(X)^2. – (c) The mean, x-bar is the summation of the observations divided by the sample size. The variance, s, is the summation of the squared differences to the mean, divided by the sample size. – (d) The mean is the integral of x times the initial function between the stated limits. The variance is the same process, only using x^2 times the initial function. – (e) The mean is the centermost point in the distribution and the variance is twice the distance between the mean and the outermost boundaries of the box. 4
#4 There’s 2 seconds left in the NBA championship game and the Heat and the Mavericks are tied. The Mavericks get the ball into a player that has a historical free throw percentage of .80 and the Heat foul him (2 shots).

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## This note was uploaded on 03/19/2012 for the course STAT 211 taught by Professor Parzen during the Spring '07 term at Texas A&M.

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File705.Review #1 (1) - Hatfield Stat 211 Review Exam 1 1...

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