Assume that a hospitality company operates a hotel with 107 rooms on a particular day. Historically, theprobability that a customer will show up for a randomly selected reservation is 97%.1. Assume that all 107 rooms were booked. Let X be the number of reservations for which the customershowed up.a. Describe the distribution of X:X~? (n ==p=b. Find the probability that there will be available rooms at the end of the day, in other words, findthe probability that not all customers will show up:P(X ≤(Round the answer to 4 decimal places)c. Find the expected number of customers who show up for their room reservations:E[X] =[(Round the answer to the whole number)d. Find the expected number of available rooms at the end of the day by subtracting the E[X] fromthe number of available rooms:(Round the answer to the whole number)2. Assume that the hospitality company sells 2 more booking(s). Let Y be the number of reservations forwhich the customer showed up.a. Describe the distribution of Y:Y~? (n:く=p =b. Find the probability that more customers will show up than there are available rooms:P(Y>(Round the answer to 4 decimal places)

Part (a) Distribution of X:The distribution of X, the number of reservations for which the customer…

Answered: Assume that a hospitality company…

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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