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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At a certain large company, the floor manager reviewing inventory and production. She ultimately comes to the decision that a product should be continued if it sold 150,000 times over the previous year. In addition, the product is considered “popular” if it receives at least 100 mentions by the local press over the past year. An analyst is hired to help with the analysis. The analyst determines that the probability of sales exceeding 150,000 was 0.331, the probability of 100 or more mentions was 0.162, and the probability that a product both sold 150,000 items, and was also ‘popular’ is 0.064. What is the probability that a randomly selected product either sold the requisite 150,000 items, or that it is ‘popular’? Again, phrase your answers in terms of probability variables (e.g. P(X) = ..., P(Y)=... etc.) If we are told that an item has indeed reached the threshold of 100 mentions in the press, what is the probability of it selling 150,000 times? Thought Question: Where would the…
Some electronic devices are better used than new: The failure rate is higher when they are new than when they are six months old. For example, 43.00% of the personal music players of a particular brand have a flaw. If the player has the flaw, it dies in the first six months. If it does not have this flaw, then only 3.000% fail in the first six months. Yours died after you had it for three months. What are the chances that it has this flaw?
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A jet fighter consists of two engines. The probability that the second engine functions in a satisfactory manner during its design life is 0.96, and the probability that at least one if the two engines does so is 0.98 and the probability that both engine do so is 0.935. Given that the first engine functions in a satisfactory manner throughout its design life, what is the probability that the second one also?
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Brgy. Pallet has one Full Restore and one Max Revive available for emergencies. The probability that the Full Restore is available for use is 0.98 and the probability that the Max Revive is available for use is 0.92. Assuming that the availability of these items is independent of each other, what is the probability that both of these items are available for a Trainer to use?
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A professional tennis player claims to get 90% of her second serves in. In a recent match, the player missed 5 of her first 20 second serves. Is this a surprising result if the player's claim is true? Assume that the player has a 0.10 probability of missing each second serve. We want to carry out a simulation to estimate the probability that she would miss 5 or more of her first 20 second serves. The dotplot displays the number of second serves missed by the player out of the first 20 second serves in 100 simulated matches. ▪………………………. ●●●●●●●●●●●●●● A●●●●●●●● …………….. 1 2 3 4 5 6 Number of missed serves in simulated match 7 Is there convincing evidence that the player misses more than 10% of her second serves? Why or why not? No, there is not convincing evidence that the player misses more than 10% of her second serves. Missing 5 out of 20 is better than expected. No, there is not convincing evidence that the player misses more than 10% of her second serves. Assuming the player makes…
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Please help me fix problem D,E,F, Thank you!

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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?