Suppose that you are offered the following "deal." You roll a die. If you roll a six, you win $10. If you roll a four or five, you win $5. Ifyou roll a one, two, or three, you pay $6.O Part (a)What are you ultimately interested in here (the value of the roll or the money you win)?the amount of winningsthe number rolledthe number of times a six is rolledO the type of dieO Part (b)In words, define the Random Variable X.the amount of winningsthe probability of rolling a fourthe amount of money made by rolling a sixO the amount of numbers that can be rolledO Part (c)List the values that X may take on.$5, $6, $104. 5. 6O -$6, $5, $10O 1, 2, 3, 4, 5, 6O Part (d)Construct a PDF. (Enter your answers for P(X = x) as fractions. Round your answers for x• P(X = x) to two decimal places.)P(X = x)x · P(X = x)64 or 51, 2, or 3O Part (e)Over the long run of playing this game, what are your expected average winnings per game? (Round your answer to two decimal places.)$O Part (f)Based on numerical values, should you take the deal?Yes, you should take the deal because the expected value is positive.O No, you should not take the deal because the expected value is negative.

For the given data select the correct choice in part(a )(b )&(c )

Answered: six, you you roll a one, two, or three,…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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