Wrap Up Exercise 1: You are faced with the following lottery: Three tickets are chosen at random (andwithout replacement) from a "pool" of 25 tickets numbered #1, #2, ..., #24, #25.. After the three 'winningnumbers" are drawn, you are to count "how many" of the numbers appearing on your lottery ticket matchthe numbers appearing on the winning ticket. A distribution of the probabilities associated with the randomvariable x that counts the number of winning numbers you have matched on your ticket, is given below.Values of xP(observe x)00.669710.301320.02873?(a) Compute the missing probability, or the probability that you match all three numbers (or “win” thelottery).(b) You pay $2 to purchase one lottery ticket. If you match zero numbers, you win nothing. If you match1 number, you get a free lottery ticket (or win back your $2); if you match 2 numbers you win $10, ifyou match all three numbers you win $1000. Would you buy a lottery ticket? (Hint: Consider yourprofit on each outcome.)

Let X be the random variable is the number of winning numbers matched on the tickets.Given…

Answered: (a) Compute the missing probability, or…

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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Similar questions

Your friend offers to place a bet with you. He will pay you $2 if your favorite sports team wins the game on Tuesday night. But you will pay him $3 if his team wins. Your team has an 55% chance of winning, whereas his only has a 45% chance. This bet is in your favor. True or False?
You play a game with two-six sided dice. If you roll a sum of 4 or 7, you win P400 If you roll a sum of 10, you win P200. However, you lose P300 for anything else. If you continue to play the game, how much do you expect to win or lose in the game?
For Jermaine’s birthday, he can choose his gift from a stack of 4 sealed cards. Each card has one of four possible amounts: $10, $25, $50, and $100, and each amount has an equal probability. He is not allowed to open the card. Complete the table and answer the questions.
please provide solutions
The probability of winning the "grand prize" at a fortune spinning wheel is p=0.2. If you spin the wheel 100 times how many grand prizes can you expect to win
Suppose that you and a friend are playing cards and decide to make a bet. If you draw two clubs in succession from a standard deck of 52 cards without replacing the first card, you win $⁢40. Otherwise, you pay your friend $⁢10. If the same bet was made 25 times, how much would you expect to win or lose? Round your answer to the nearest cent, if necessary. Win: Lose:
A and B play the following game. They throw alternatively a pair of dice. Whosoever gets sum of the two numbers on the top as seven wins the game and the game stops. Suppose A starts the game. Find the probability (a) A wins the game (b) B wins the game.
You are going to play two games. The probability you win the first game is 0.60. If you win the first game, the probability you will win the second game is 0.75. If lose the first game, the probability you win the second game is 0.55. What is the probability you win exactly one game?
You pay $20 to enter a raffle. The first ticket drawn wins $1036, the second ticket drawn wins $477, the third through fifth win $186, and the sixth through tenth win $49. Suppose 2345 tickets were sold. What is the expected earning on your ticket?
A prize is placed at random in one of three boxes. You pick a box (and do not open it). Now, the dealer (who knows where the prize is) chooses one of the other two boxes, opens it and shows you that it is empty. She then gives you the opportunity to keep your original box or switch to the other unopened box. Find the probability of winning the prize if you switch. Find the probability of winning the prize if you stay. Should you stay or switch?
a. Provide two independent events that you know the probability of.b. Explain how you know these events are independent.c. Find the probability that they both occur. a. Provide two dependent events.b. Explain how you know these events are dependent.c. Explain why these dependent events might require a different method for calculating the probability of both events occurring. Please number your responses to the questions as they are shown (1a, 1b, 1c, 2a, 2b, and 2c).

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