A bench with 28 seats has 28 people who wish to sit on it. a. In how many ways can these people sit if we care about the order on the beach? b. If there are 7 families, each having 4 people, in how many ways can we seat them on this bench if each member of the family has to sit next each other?

A bench with 28 seats has 28 people who wish to sit on it. a. In how many ways can these people sit if we care about the order on the beach? b. If there are 7 families, each having 4 people, in how many ways can we seat them on this bench if each member of the family has to sit next each other?

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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Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the last century, the mean number of major hurricanes to strike a certain country's mainland per year was about 0.53. Find the probability that in a given year (a) exactly one major hurricane will strike the mainland, (b) at most one major hurricane will strike the mainland, and (c) more than one major hurricane will strike the mainland. (a) P(exactly one major hurricane will strike the mainland) = (Round to three decimal places as needed.) (b) P(at most one major hurricane will strike the mainland) (Round to three decimal places as needed.) (c) P(more than one major hurricane will strike the mainland) = (Round to three decimal places as…