Bob has a peculiar pair of tetrahedral (four-sided) dice. When he rolls the dice, theprobability of any particular outcome is proportional to the sum of the readings on theindividual dice. In particular, letting K represent the sum, then K = K₁ + K2, where K₁and K₂ denote the readings on Die 1 and Die 2, respectively.Assume that all outcomes corresponding to a particular sum are equally likely. Determine the probability of rolling a double.What is the probability that Bob rolls a 2 and a 3, in either order?Determine the probability that K₁ and K₂ are at least one number apart. That is,determine P(|K₁ − K₂| ≥ 1).

Bob has a peculiar pair of tetrahedral (four-sided) dice. The outcomes for rolling pair of…

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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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A particular gambling game pays 4 to 1 and has a 20% chance to win. Someone will bet $10, 125 times, and keep track of the total amount won or lost. Which of the following boxes will produce the right answers? Check ALL answers that apply. a. 1 ticket labeled $10 and 4 tickets labeled -$10 b. 20 tickets labeled $10 and 80 tickets labeled -$10 c. 20 tickets labeled 1 and 80 tickets labeled 0 d. 1 ticket labeled $40 and 4 tickets labeled -$10 e. 20 tickets labeled $40 and 80 tickets labeled -$10 f. 1 ticket labeled 1 and 4 tickets labeled 0
A spinner has three sections, each with different point values and areas:The lose-a-point section is 2/3 the area of the spinner.The 2-point section is 1/4 the area of the spinner.The 3-point section is 1/12 the area of the spinner. Outcome value, x Lose-a-pt: -1 Probability, P 2/3
A pair of fair dice is rolled onoe, Suppose that you lose $7 if the dice sum to 5 and win $8 if the dice sum to 11 or 12. How much should you win or lose if any other number tums up in order for the game to be fair? To keep the game fair, you should (Do not round until the final answer. Then round to the nearest cent as needed.) if the dice sum to any other number
Suppose that we roll two fair six-sided dice and record the numbers showing as an ordered pair. Let Y denote the absolute value of the difference of the two numbers. Find E(Y). Select one: О а.35/18 O b. 35/6 O c. 0 d. 5/6 e. None of the other choices
Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.
Use the following information for problems 4 – 6. Each problem is separate from each other. A box of donuts contains 4 sprinkled, 4 chocolate glazed, 3 maple glazed, and 1 custard filled donuts. 4. Treach into the box and randomly pick a donut. Find the probability that the donut is custard filled. Round to three decimal places.
Provide a long step-by-step solution to this problem (see attached). Make your solution with the given and sketch. The solution should be very clear to read, and easy to understand.
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Two unbalanced dice are thrown at the same time. The first die has the property that the probability of getting a side of 1 and 6 is three times the other side. While the second dice has the property that the probability of the appearance of the sides of the eye 3 and 4 is three times the probability of the other side. If X represents the appearance of the side of the first die and Y represents the appearance of the side of the second die. a. Find the joint probability mass function, P(x,y) b. Find the X and Y marginal probability mass functions c. Find E(X), E(Y), and E(XY)
In a lottery, the top cash prize was $675 million dollars, going to three lucky winners. Players pick four different numbers 1 to 58 and one number 1 to 48. A player wins a minimum of $100 by correctly matching two numbers drawn from the white balls (1 through 58) and matching the number on the gold bal (1 through 48). What is the probability of winning the minimum award?

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