Answered: (c) Give the following probabilities…

(c) Give the following probabilities and select the correct option below. P(X and Y) P(X) %3D P(Y\x) = 0 P(X and Y) P(X) P(Y\X) =,< 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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q.6
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In a certain lottery, an urn contains balls numbered 1 to 37. From this urn, 5 balls are chosen randomly, without replacement. For a $1 bet, a player chooses one set of five numbers. To win, all five numbers must match those chosen from the urn. The order in which the balls are selected does not matter. What is the probability of winning this lottery with one ticket? The probability of winning is (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to the nearest hundredth as needed.)
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You are given a deck of n cards, which are numbered 1 through n. After the n cards are randomly shuffled, the cards are dealt face up on the table, one card at a time. Here are the rules of NALGO: after the first card is placed on the table, each new card must have a higher number than the previous card. If it does, this new card remains on the table. If the new card is lower in value, then this card is removed from the table and the game is immediately over. Your final score is the number of cards that are placed on the table. For example, if n = 3, then there are six possible scenarios, each of them equally likely to occur. The cards placed on the table are marked in bold. First Card Second Card Third Card 1 2 3 1 3 2 2 2 3 3 1 3 1 2 3 1 2 1 Cards on Table 1, 2, 3 1, 3 2 2, 3 3 3 Points 3 2 1 2 1 1 Thus, if there are n = 3 cards in the deck, then you score 1 point with probability , 2 points with probability, and the maximum 3 points with probability. And so, the expected value of…
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