STAT 3502 Assignment2 - STAT 3502 Assignment # 2 Due: 21...

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STAT 3502 Assignment # 2 Due: 21 June, 2010 prior to the start of class 1. Two fair six-sided dice are tossed independently. Let M = maximum of the two tosses. a. [2] What is the pmf of M? b. [2] Determine the cdf of M and graph it. a. the pmf of M is: b. The cdf of M is: m 1 2 3 4 5 6 P(m) 1/36 3/36 5/36 7/36 9/36 11/36 F(m) 1/36 4/36 9/36 11/36 25/36 1 2. [2] Let x = the outcome when a fair die is rolled once. If before the die is rolled = = = = = = = 6 m 11/36 5 m 9/36 4 m 7/36 3 m 5/36 2 m 3/36 1 m 1/36 ) ( m P = = = = = = = = 6 m 1 5 m 25/36 4 m 11/36 3 m 9/36 2 m 4/36 1 m 1/36 ) ( ) ( m M P m F 0 1 2 3 4 5 6 7 1 2 3 4 5 6 m=number of t ow t osses F(m) ) 1 ( ) ( 1 X E X E =
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you are offered either 1/3.5 dollars or h(x) = 1/x dollars , would you accept the guaranteed amount or would you gamble? Note: It is not generally true that 3. The weekly demand for propane gas (in 1000s of gallons) from a particular facility is a r.v. x with pdf a. [1.5] Compute the cdf of x. b. [1.5] What is the value of (median)? c. [1.5] Compute E(X) and V (X).
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STAT 3502 Assignment2 - STAT 3502 Assignment # 2 Due: 21...

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