After shuffling a deck of 52 cards, a dealer deals out 5. Let X =the number of suits represented in the five-card hand.(a) Find the pmf of X. (Hint: p(1) = 4P(all are spades), p(2) = 6P(only spades and hearts with at least one of each suit), and p(4) = 4P(2 spades N one of each other suit).) (Round your answers to five decimal places.)14p(x)(b) Compute µ, o², and o. (Round your answers to three decimal places.)u =%3DIIof

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Answered: After shuffling a deck of 52 cards, a…

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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In a bridge game, a hand consists of 13 cards taken from a deck of 52 cards.(i) A hand is balanced if the number of cards for all suits are almost equal. How many different hands arethere, in which we have 4 cards of a certain suit, and 3 cards for each of the other suits?(ii) In bridge games we prefer to have unbalanced hands. How many different hands are there, in whichwe have 7 cards of the same suit?
To raise money for the local Veterans Affairs hospital, your friend organizes a fundraiser, inviting you to play a two-stage game where you pay $6 to play. The game works as follows: a fair 8-sided die is rolled, noting the number shown, and a spinner divided into 4 equal regions of different colors (blue, red, green, orange) is spun, noting th color. If the die shows 3 or the spinner shows orange, then you win $21. If the die shows an even number and the spinner does not show orange, then you win $7. Otherwise, you do not win anything. Let X be your net winnings. (a) Create a probability distribution for X. Enter the possible values of X in ascending order from left to right. All probabilities should be exact. P(X) Enter a fraction, integer, or exact decimal. Do not approximate (b) Compute your expected net winnings for the game. Round your answer to the nearest cent. (c) Is this game fair? O Yes O No
In another game at Bonehead Casino in Reno, the player draws one card from a standard deck. If it is a KK , then the player wins $100; an AA, QQ , then the player wins $35; an 88, 77, JJ, then the player wins $15; anything else, then the player loses. It costs $16 to play (for each play). Now, Melvin plays the game 1000 times, Rufus plays the game 50,000 times. Find the probability that (a) Melvin makes $100 or more. (b) Rufus makes $35,000 or more.
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Buu has 6 different types (named 1 to 6) of chocolates (in large quantity). Now he plays a game to eat those chocolates. He throws a die (of six sides, non-biased, if the die shows 1, he eats chocolate 1. If the die shows 2, he eats chocolate 2 and so on. Now let X be the number of chocolates of type 1 are eaten and Y be the number of chocolates of type 2 are eaten. What is joint PMF of X and Y ?(Total number of times he roll the die is 4.)
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This exercise refers to a standard deck of playing cards. Assume that 8 cards are randomly chosen from the deck.How many hands contain exactly two 2s and two 5s?
Note: In this problem set, the notation C(n, k) is used for the combination "n choose k." Alternate notation: ( ) 17.) A hand of 5 cards is dealt in a poker game. How many poker hands are possible with: (a) exactly 3 Jacks? (b) only one color (red or black)? (c) a full house (3 of one kind of card and 2 of another)?
Buu has 6 different types (named 1 to 6) of chocolates (in large quantity). Now he plays a game to eat those chocolates. He throws a die (of six sides, non-biased, if the die shows 1, he eats chocolate 1. If the die shows 2, he eats chocolate 2 and so on. Now let X be the number of chocolates of type 1 are eaten and Y be the number of chocolates of type 2 are eaten. What is joint PMF of X and Y?
Suppose that nine children are sitting in a row. When the music starts, they get up and run around the row of chairs. When the music stops they each sit in an empty chair. In how many ways can it happen that none of them are sitting in the original chair that they occupied at the start of the game? Use an approximation for your answer and round it to the nearest whole number.
when testing for Current n a cable with twelve color- coded wires, the quthor used a meter to testtwo wires at a time. How many different test are required for every possible pairing Of two wires? 22 3x2- 6

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