under the specified conditions. What is the probability that in ten trials made under these conditions the relay will fail to operate one or more times?
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- A new surgery is successfully 85% of the time . If the results of 7 such surgeries are randomly sampled, what is the probability that at least 5 of them are successful. Carry your intermediate computations to at least four decimal places, and round your answer to two decimal places.A group of students is asked a question one at a time. Whether or not the students are able to answer the question correctly are independent Bernoulli trials with a 60% probability of the student questioned answering correctly. The expected number of students that needs to be questioned before getting three students who correctly answer the question isSuppose the sensitivity of a diagnostic procedure to test whether a person has a particular disease is 95 % . A person who actually has the disease is tested for it using this procedure by two independent laboratories. (1) What is the probability that both test results will be positive? (ii) What is the probability that at least one of the two test results willI be positive?
- Take a Ś digit Yandom numbers o7 size So, sum each S digit Kandom numbers and consider them as Make a find its mean and valiance. a Yandom valiable. probabislity distribution and1. Power companies severely trim trees growing near their lines to avoid power failures due to falling limbs in storms. Applying a chemical to slow the growth of the trees is cheaper than trimming, but the chemical kills some of the trees. Suppose that one such chemical would kill 20% of sycamore trees. The power company tests the chemical on 250 sycamores. Consider this a SRS from the population of all sycamore trees. Calculate the probability that less than 24% of the tress in the sample are killed. (Hint: Shape, Center, Spread, Curve, Calculations, Conclusion....)Question 2: You are appointed as a quality engineer in a telecommunication company. Your manager asks you to enhance the company quality of service, by increasing the success rate for customers to get hold of tech support representatives. Assume that customers will call three times is an attempt to ask for tech support then give up. You want to make sure that you are able to serve at least 97% of the people who ask for tech support. Let p be the probability that a caller get hold of a tech support representative. What is the minimum value of p necessary to meet your goal?
- A Bernoulli process has 4 trials and probability of success 0.31. Find the following probabilities. 1. Exactly 2 successes. 2. Exactly 2 failures. 3. At most 1 success. ... 4. At least 1 success. 5. At least 1 success and 1 failure.Johnny carries out an experiment to study the lifespan of cockroach without water and food. At the end of day 0, he puts six cockroaches in different boxes respectively. On each day following, each cockroach has an equal chance to d ie with a probability of 0.5. What is the expected number of days until all six cockroaches die?Do question 2