The expected value of a "strange die" that has the values {2,3,4,6,7,8} the expected value is  ... _________________________________________________________ in case you ask, a "normal" die is this, giving values 1 to 6.    数值题

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Peter does a lot of commuting by cycle.  Occasionally he gets a puncture while out riding (and very occasionally two).  Peter wants to determine the expected value for the number of punctures on a ride, so that he can determine how many puncture repair patches he should purchase to get him through 100 rides. Let x be the number of punctures on a given ride. The probability of getting one puncture is p(1) = 0.08 The probability of getting two punctures is p(2) = 0.01 The probability of getting zero punctures is 1 - p(1)-p(2) Find the expected value for the number of punctures for a given ride and multiply this by 100 and then round to the nearest integer to determine how many patches Peter should purchase.  Type your answer below.

You own a portfolio with the following expected returns given the various states of the economy. What is the overall portfolio expected return? State of Economy Probability of State of Economy Rate of Return if State Occurs Boom .11 .110 Normal .68 .045 Bust .21 −.045

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Suppose I am playing a game.  I bet $2.  There is a 40% chance that I win my $2 back plus another $1 There is a 20% chance that I win $2 back (break even) There is a 40% chance that I lose my $2 bet.  Using the box model and R, calculate the EV of the sample sum of playing this game 10 times.

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