Suppose that 60% of all adults regularly consume coffee, 50% regularly consume carbonated soda, and 75% regularly consume at least one of these two products.What is the probability that a randomly selected adult regularly consumes both coffee and soda?What is the probability that a randomly selected adult doesn't regularly consume at least one of these two products?

Answered: Image /qna-images/answer/0822e201-e2eb-4210-b83d-34bfc0b5c032.jpg

Answered: Suppose that 60% of all adults…

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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Suppose that 34% of the population has mood swings, allergies, irritability and depression (MAID) and is known to consume dairy products. Also, 80% of the populace consumes dairy products. It is also known that 70 % of the population either consumes dairy products or has MAID. What is the probability that a randomly chosen person has MAID?
In the study, about 81 percent of participants' weight loss came from fat loss, which was made possible through the main mechanism of any keto diet. In a random sample of 10 participants of the keto diet, what is the probability that at least 9 will have weight loss from fat loss?
A company receives 65% of its orders over the Internet. Within a collection of 18 independently placed orders, what is the probability that no more than four of the orders are received over the Internet?
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 7% probability that a nonsmoker will begin smoking a pack or less per day, and a 2% 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 4975 X people people people people people…
A certain disease affects 1% of the population. A diagnostic test for the disease is 99% accurate (i.e. the test will correctly identify 99% of infected individuals and 99% of uninfected individuals). Given that a randomly selected person tests positive, what is the probability that they actually have the disease?
Suppose a shipment of 190 electronic components contains 3 defective components. To determine whether the shipment should be accepted, a quality-control engineer randomly selects 3 of the components and tests them. If 1 or more of the components is defective, the shipment is rejected. What is the probability that the shipment is rejected?
It is known that 40% of the students in a certain college are girls and 50% of the students are above the median height. If 2/3 of the boys are above median height, what is the probability that randomly selected student who is below the median height is a girl?
A vendor supplies 200 parts and claims that no more than 25% of them are defective. The receiving dock tests a sample of 5 parts and finds that 40% of them are defective. Assuming that the vendor's claims are correct what is the probability of getting 40% or more defective parts in a sample of this size?
70% of iPhone batteries are made from China and 30% from Korea. The failure rates within a year for battery made from those countries are respectively 2% and 1%. Given that a customer’s battery went bad within a year, what is the probability that it was made from China?
Suppose a factory produces computer chips, and 2% of the chips are defective. If a sample of 100 chips is randomly selected from the factory's production line, what is the probability that exactly 3 chips are defective? Furthermore, what is the probability that at least 3 chips are defective in the sample?
A radio device consists of 1000 electronic elements. The probability of nonoperation for one element during one year of operation is 0.001 and is independent of the condition of the other elements. What is the probability that at least two elements will fail to operate during a year?
Suppose a county's recent health report gives a pet allergy prevalence of 0.23 for kids. There is a new at-home test kit for pet allergies on the market that provides families with a convenient way to test if children have a pet Pet allergy Test result status Positive allergy. The probability that the test gives a positive result when a child 0.83 really does not have a pet allergy is 0.07. The probability that the test gives Pet allergy a negative result when a child really does have a pet allergy is 0.17. The tree 0.23 0.17 diagram shows the possible outcomes with the associated probabilities. Negative What is the probability of an incorrect test result? Give your answer as a decimal precise to two decimal places. Positive 0.07 0.77 No pet allergy 1.19 0.93 Negative

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