5. Suppose you live in an extremely unfortunate climate where it always rains on weekends(Saturday and Sunday). For that matter, there is always a chance of rain on a weekday(Monday-Friday) as well.If you have completely forgotten which day of week it is (so that it is equally likely to be anyof the seven days), but you go outside and see that it's raining, what is the probability thatit's the weekend?

Let, W and Wc be events that a day falls in weekend and weekday respectively R and Rc be events…

Answered: Suppose you live in an extremely…

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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Let's say that on the Island of Sodor, it rains 15% of the time, and due to the frequent shifts in the wind, no weather today seems to have any impact on weather tomorrow. If we go outside for a week, what is the probability that we observe rain not at all exactly once twice thrice four times five times six times seven times.
In a population of 10,000, there are 5000 nonsmokers, 2500 smokers of one pack or less per day, and 2500 smokers of more than one pack per day. During any month, there is a 5% probability that a nonsmoker will begin smoking a pack or less per day, and a 4% probability that a nonsmoker will begin smoking more than a pack per day. For smokers who smoke a pack or less per day, there is a 10% probability of quitting and a 10% probability of increasing to more than a pack per day. For smokers who smoke more than a pack per day, there is a 9% probability of quitting and a 10% probability of dropping to a pack or less per day. How many people will be in each group in 1 month, in 2 months, and in 1 year? (Round your answers to the nearest whole number.)(a) in 1 month:nonsmokers:1 pack/day or less:more than 1 pack/day:(b) in 2 months:nonsmokers:1 pack/day or less:more than 1 pack/day:(c) in 1 year:nonsmokers:1 pack/day or less:more than 1 pack/day:
At a local restaurant, you are allowed to pick one side with your dinner. Because you can only choose one, your side choice is mutually exclusive of all the other sides to chose from. On any given day, there is a 0.34 chance you will pick an fries, and a 0.1 chance you will pick an veggies. Today, you do not pick an veggies; what is the probability you pick fries today?
Suppose two friends, Michael and Austin, are arguing about Michael's supposed trivia prowess. Michael, a trivia fanatic, wishes to prove his vast trivia knowledge by answering a series of trivia questions. To test this, Austin purchases a book of trivia questions and randomly selects 75 to ask Michael. Assume that for each question, the probability that Michael gives the correct answer is 0.80. What is the probability that Michael will answer at least 55 questions correctly? Use the normal approximation to obtain the result. Give your answer as a decimal precise to at least three decimal places.
In a certain computer game, an alien monster roams the screen intending to eat your character. You are armed with a pistol. If you have one out of twelve chance of hitting the monster if you fire randomly, what is the probability that it will take you 15 shot to hit the monster?
You are interested in the number of people that will visit your restaurant in the noon hour. Historically, there is a 10% chance that more than 10 customers will visit, a 30% chance that more than 8 customers will visit, a 50% chance that more than 6 customers will visit, a 80% chance that more than 4 customers will visit, and a 95% chance that at least 2 customers will visit during the noon hour. What is the probability that 4 or less customers will visit the restaurant -- the number required to break even financially for the day?Express your answer as a percent value. So if your answer is 100% for example, enter 100. Round your answer to the nearest percent.
On a supermarket shelf, there are 45 packs of cereals. Among these, there are five packs whose sell-by date is less than a week from now. Lena selects four packs of cereals at random and intends to consume them after a week, since she has another pack of cereals at home. What is the probability that at least one of the four packs she bought will have past its sell-by date a week from now?
Jenny is an elementary school student and her father Jack works near her school. Every day,Jack sends Jenny to school first, and then he drives to work. According the experience fromthe past, Jenny has 90% chance of being school on time, and Jack has 80% chance of arrivingto work on time. However, when Jenny is late to school, Jack has 60% chance of being late towork.(a)In a particular day, what is the probability that both Jenny and Jack are late?(b)In a particular day, what is the probability that Jenny arrives school on timebut Jack is late to work?(c)Is the lateness of Jenny and Jack independent? Why?
A sign on the pumps at a gas station encourages customers to have their oil checked and claims that 2 out of 5 cars needs to have oil added.If this is true, what is the probability that at most 5 of the next 8 cars needs oil?
you are planning a thre day trip to seattle washington in october. use the fact that on each day it could either be sunny or rainy, and that each day is equally likely to be sunny or rainy to answer the following question. what is the probability that it rains on exactly one day?
You have a blood test for a rare disease that occurs by chance in 1 person in 100,000. If you have the disease, the test will report that you do with probability 0.95 (and that you do not with probability 0.05). If you do not have the disease, the test will report a false positive with probability 0.001. If the test says you do have the disease, what is the probability that you actually have the disease?
At a museum cafe you can get a pre-made boxed lunch with a sandwich, fruit, and drink for only $3. • The sandwiches are made with either turkey or ham. • The fruit is either an apple or an orange. • The drink is either bottled water or juice. The number of boxes they make for every possible combination is the same. If you randomly choose one of the boxed lunches without knowing the contents, what is the probability you will get a turkey sandwich, an apple, and a bottle of water in your box? 1 4

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