4. In the hotel reservation case, suppose the hotel accepts 202 reservations but it only has 200rooms. Let X be the number of guests who will not claim their rooms.(a) Suppose the probability P of no-show is Uniform [0, 0.02] distributed and XPBin (202, P). What is the chance that all guests who claim their rooms will receive one?(b) If P~ Uniform [0.01 - a, 0.01 + a], how will the probability in (a) change with a?

Answered: Image /qna-images/answer/0c37b7aa-040d-4c90-82b4-77dcb1482959.jpg

Answered: In the hotel reservation case, suppose…

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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There are 24 families living in the farm. Of these families 11 of them prepared thier own taxes last yeay, 6 of them took them to a professional, and the remaining 7 had them done by H+R block. What is the probability of selecting two families that did not use H+R Block?
Suppose 100 guests are playing a game at a party. Each guest rolls a dice once. If the dice roll result is 1, 3 or 5, that guest gets 1 gift. If the dice roll result is 2, 4 or 6, that guest gets 2 gifts. After the game, all the 100 guests put their gifts together to count the total number. Suppose the dice roll results are independent. Use Central Limit Theorem to approximate the probability that the total number of gifts is at least 160. Fact that may be useful: A dice has 6 sides: 1,2,3,4,5,6. When rolling a dice, each side has an equal probability (1/6) of facing upwards. The number facing up is the dice roll result. Your result can contain the CDF of N(0,1), Þ(·).
Two identical urns contain balls. One of the urns has 6 red balls and 3 blue balls. The other urn has 5 red balls and 8 blue balls. An urn is chosen at random and two balls are drawn at random from this urn, without replacement. What is the probability that the second ball is red, given that the first ball is red? "Type your answer as a fraction example: 5/2"
1) IfX~B(10,0.7), find the probability for P(X=5)
In a large metropolitan city, the probabilities associated with the number of homicides on any given day are as follows: P(0 homicides)=0.40 P(1 homicide) = 0.25 P(2 homicides) = 0.20 P(3 homicides)= 0.15 In On a randomly selected day, what is the probability of at least one homicide? In What is the probability of no homicides on both of 2 randomly selected days? In What is the probability of at least one homicide in 3 randomly selected days?
There are two boxes. In each box there are 4 cards with a different number printed on it. The four cards have been numbered as 1,2,3,4 in each box. Two cards are drawn random from each box. The random variable X represents the difference between the number on the card from box 1 minus the number on the card from box 2.a) Find the mean of this probability distribution. (i.e. Find E[X] )b) Find the variance and standard deviation of this probability distribution.(i.e. Find V[X] and SD[X])The random variables M and W are defined as follows:M = X+5 and W = (1/2)X+5c) Find E[M] and E[W].d) Find V[M] and V[W].e) Mary and William play a game using the cards in the above boxes. Randomly two cards are drawn, and Mary records his score using the random variable M and William uses the random variable W. They repeat this for a large number of times and compare their scores. Comment on any likely differences or similarities of their scores.
For the same bag of candy with 6 colors in equal amounts, what is the probability of drawing a yellow candy and a blue candy when drawing two subsequent pieces from the bag (assume the first candy is put back in the bag and mixed before the second draw)
Find the probability that in a family of 4 children there will be (a) at least1 boy and (b) at least 1 boy and 1 girl. Assume that the probability of a male birth is .
Q15) When a die is rolled twice, what is the probability that the 1st first throw will be a 3 and the 2nd will be a 6? -

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