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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1) IfX~B(10,0.7), find the probability for P(X=5)
Suppose that in a year of 365 days, it rains on 62 days. There is lightning on 13 days. There is both lightning and rain on 12 days. Compare the chance that a rainy day has lightning to the chance that a day with lightning has rain. Show your work here P(lightning | rain) = P(rain | lightning)
Assume that three stop lights on the way to school are independent. Their time probabilities are P(Red)=0.4, P(Green)=0.5, and P(Yellow)=0.1 values. What is the probability of getting ALL THREE green lights on a trip to school?
Kim and Susan are playing a tennis match where the winner must win 2 sets in order to win the match. For each set the probability that Kim wins is 0.59. The probability of Kim winning the set is not affected by who has won any previous sets. (a) What is the probability that Kim wins the match? (b) What is the probability that Kim wins the match in exactly 2 sets (i.e. only 2 sets are played and Kim is the one who ends up winning)? (c) What is the probability that 3 sets are played?
Assume that you have 8 red balls and 10 blue balls from which randomly to select two without replacement. (1) What is the probability that exactly one blue ball is chosen? (2) What is the probability that the second ball is blue given that at least one of the balls is blue?
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)
In a factory, in a batch of 100 products, there are on average 3 of defected ones. Probability of having the first defected product at the 10th(10.) product in 100 products.
A jar contains 6 green jelly beans and 5 purple jelly beans. (a) Suppose one jelly bean is to be selected at random. What is the probability that a purple jelly bean is selected? (b) Suppose 9 jelly beans are to be selected at random with replacement. Let X be the number of green jelly beans in the selected. Calculate P(X : probability that there is exactly one green jelly bean in the 9 selected. = 1), the (c) Now suppose 5 beans are to be selected at random without replacement. Let Y be the number of purple jelly beans in the selected. Calculate P(Y = 1), the probability that there is only one purple jelly bean in the 5 selected.
A box of chocolates contains 39 chocolates of 3 different flavours: 13 dark, 17 milk and 9 white. You randomly pick 9 chocolates. Find the probability that: (a) 8 chocolates are dark, 1 are milk and 0 are white. (b) you get only dark chocolates (c) you get only chocolates of the same kind (d) you get at least one chocolate of each kind. Write the results in fractional form.
Find the indicated probabilities: a. P(5sxs7); µ=6; o=2 ANS: b. P(10sxs16); µ=15; 0=4 ANS: c. P(7sxs9); H=5; o=2 ANS: d. P(1sxs2.6); µ=1.5; 0=0.4 ANS:
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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