Suppose that a DJ has two (2) turntables and one (1) microphone. If the failure rate ofa single turntable is 2% and the failure rate of a microphone is 1.5%, what is the probability thatnone of the DJ's equipment fails at a show?A game consists of rolling two die and adding the two numbers. Let E be the event "thesum is 4, 5, or 6" and F be the event "the sum is even". Are the events E and F independent?Briefly explain your answer.Three percent of the circuits produced by a machine are defective. What is theprobability that a box of 20 circuits contains two or more defective circuits?An insurance company determines that the probability a person files a claim in the next18.year is %8. If a group of 10 policy holders is chosen at random, what is the probability that noneof them file a claim in the next year? There are two (2) urns, one red one green. Each urn contains red and green marb.es.The red urn has four (4) red marbles and two (2) green marbles; the green urn has three (3) greenmarbles and two (2) red marbles. An marble is drawn from the green urn, then without replacingthe marble, a 2"nd marble is drawn from the urn with the color of the first marble.(a) Draw a tree diagram for this experiment(h) What is the probability the 2nd marble drawn is green?

here you have posted many questions as all are different , I have calculated first main question…

Answered: | Suppose that a DJ has two (2)…

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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To reduce laboratory costs, water samples from five public swimming pools are combined for one test for the presence of bacteria. Further testing is done only if the combined sample tests positive. Based on past results, there is a 0.004 probability of finding bacteria in a public swimming area. Find the probability that a combined sample from five public swimming areas will reveal the presence of bacteria. Is the probability low enough so that further testing of the individual samples is rarely necessary? The probability of a positive test result is (Round to three decimal places as needed.)
The local weather forecaster predicts that there is a 12% chance of rain on each day next week. Assuming his prediction is accurate and that the chance of rain in a given day does not depend on the chance of rain in a different day, what is the probability it will rain on at least 4 of the days next week?
Suppose a free throw shooter makes 67 percent of their first attempts. On the second attempt they make 81 percent if they had made their first attempt, but 59 percent if they had miss. What is the probability that they make one of two attempts (one or the other attempt, but not both)?
To reduce laboratory costs, water samples from five public swimming pools are combined for one test for the presence of bacteria. Further testing is done only if the combined sample tests positive. Based on past results, there is a 0.003 probability of finding bacteria in a public swimming area. Find the probability that a combined sample from five public swimming areas will reveal the presence of bacteria. Is the probability low enough so that further testing of the individual samples is rarely necessary? The probability of a positive test result is (Round to three decimal places as needed.)
A study tracked a large group of people for 10 years. At the start of the study, 20% were heavy smokers (H), 30% were light smokers (L), and 50% were non-smokers (N). The interest of the study was whether the people in the study died during the study (D) or not die (Dc ). The probability that a light smoker died during the study was twice that of the probability of a non-smoker dying. Also, the probability that light smoker died during the study was half that of the probability of a heavy smoker dying. A randomly selected person from the study died during the study. What is the probability that this person was a heavy smoker (given they died, what is the probability they were a heavy smoker H)?
The mosquitos are out in your back yard, and they bite you at random times. Each bite happens independently of the last bite. The average time between bites is 2.501 minutes. What is the probability that it takes longer than 1 minutes for them to first bite you?
On the average the traffic pattern at an intersection is as follows: • Twice as many cars go through as the number of vans, bicycles and trucks combined. • Twice as many vans go through as the number of bicycles and trucks combined. • Half as many trucks go through as the number of bicycles. Calculate the probability that the next vehicle to go through is a truck or a car. (19/27)
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| Suppose that a DJ has two (2) turntables and one (1) microphone. If the failure rate of a single turntable is 2% and the failure rate of a mierophone is 1.5%, what is the probability that none of the DJ's equipment fails at a show?