A certain restaurant in a city hasan average of 30 customers perhour. The crews cannotaccommodate the customerswithout reservation if there aremore than 40 customers in agiven hour.(a) What is the probability that in agiven hour the crews can no longeraccommodate the incomingcustomers?(b) What is the probability that morethan 45 customers arrive during a2-hour shift of restaurant crews?

A restaurant has an average of 30 customers in an hour , λ = 30 Let X denotes the number of…

Answered: A certain restaurant in a city has an…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Determine whether the event described are independent or dependent. Then find the probability of the event Randomly drawing and immediately eating three red M&Ms in a row from a bag that contains 10 red M&Ms out of 30 M&Ms total
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Overall, Steve Dalkowski throws a strike with 17% of his pitches (that is, the probability that he throws a strike with any given pitch is .17). (a) In one game, Dalkowski throws 240 pitches. What is the probability that he throws exactly 40 strikes? (b) In one week, Dalkowski throws 400 pitches. What is the probability that he throws 80 or more strikes? Every day for eternity Dalkowski throws 100 pitches, and records the number of strikes. (c) Find the mean µ, and the standard deviation o, of the numbers (of strikes thrown on different days) that Dalkowski records.
Suppose that the probability that a passenger will miss a flight is 0.0901. Airlines do not like flights with empty seats, but it is also not desirable to have overbooked flights because passengers must be "bumped" from the flight. Suppose that an airplane has a seating capacity of 54 passengers. (a) If 56 tickets are sold, what is the probability that 55 or 56 passengers show up for the flight resulting in an overbooked flight? (b) Suppose that 60 tickets are sold. What is the probability that a passenger will have to be "bumped"? (c) For a plane with seating capacity of 250 passengers, what is the largest number of tickets that can be sold to keep the probability of a passenger being "bumped" below 1%?
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