what is theprobability that itwill operate measure rain water?
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PAGASA is planning to placeat five rain gauge indifferent locations within Metro Manila. The rain gaugein different location R1, R2, R3, R4and R5will operate 0.30, 0.45, 0.25, 0.30 and 0.20, respectively,at atime. If rain pours in those locations has
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- 5. Assume the below life table was constructed from following individuals who were diagnosed with a slow-progressing form of prostate cancer and decided not to receive treatment of any form. Calculate the survival probability at year 2 using the Kaplan-Meir approach and interpret the results. Time in Years Number at Risk, Nt Number of Deaths, Dt Number Censored, Ct Survival Probability 0 20 1 1 20 3 2 17 1 3 16 2 1 The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85. The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study. The probability of surviving 2 years after being diagnosed with a slow-progressing form of prostate cancer is .85 for individuals who decided against all forms of treatment. The probability of surviving 2 years after…In the U.S., about 85% of people are Rh positive for blood type. You take a sample of size 7. Use R to calculate the following probabilities: a) Pr{Y = 2} b) Pr{Y = 5}4. Assume the below life table was constructed from following individuals who were diagnosed with a slow-progressing form of prostate cancer and decided not to receive treatment of any form. Calculate the survival probability at year 1 using the Kaplan-Meir approach and interpret the results. Time in years Number at risk Nt Number of deaths, Dt Number of censored Ct Survival Probability 0 20 1 1 20 3 2 17 1 3 16 2 1 A) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85.B) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for the individuals being followed in this study.C) The probability of surviving 1 year after being diagnosed with a slow-progressing form of prostate cancer is .85 for individuals who decided against all forms of treatment.D) The probability of surviving 1 year after being diagnosed with a slow-progressing form of…
- For Part B. Options are Excellent, Good, Fair for each blank.The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a 15.7% daily failure rate. Complete parts (a) through (d) below. a. What is the probability that the student's alarm clock will not work on the morning of an important final exam? | (Round to three decimal places as needed.) b. If the student has two such alarm clocks, what is the probability that they both fail on the morning of an important final exam? (Round to five decimal places as needed.) c. What is the probability of not being awakened if the student uses three independent alarm clocks? (Round to five decimal places as needed.) d. Do the second and third alarm clocks result in greatly improved reliability? O A. No, because total malfunction would still not be unlikely. O B. No, because the malfunction of both is equally or more likely than the malfunction of one. OC. Yes, because you can always be certain that at least one…If 90% of the parts produced by a certain machine do notare not defective and which are chosen at random and withdiscount 25 pieces in production, what is the probabilitythat at least 22 of these parts are functional (non-defective)? Calculate the expectation and variance of the number ofnon-defective parts.
- A particular automatic sprinkler system has two different types of activation devices for each sprinkler head. One type has a reliability of 0.75; that is, the probability that it will activate the sprinkler when it should is 0.75. The other type, which operates independently of the first type, has a reliability of 0.85. If either device is triggered, the sprinkler will activate. Suppose a fire starts near a sprinkler head. (provide your answer in four decimal numbers) (i) What is the probability that the sprinkler head will be activated? (1.5) (ii) What is the probability that the sprinkler head will not be activated? (1.5) (iii) What is the probability that both activation devices will work properly? (1.5) (iv) What is the probability that only the device with reliability 0.75 will work properly? (1.5)A barbershop has the following demand for haircuts on Saturday, which is its busiest day of the week. Number of Haircuts Probability20 .125 .330 .435 .140 .1a. What is the average demand for haircuts on Saturday?b. If the capacity is 35 haircuts, what is the average utilization of the shop?c. If capacity is 35 haircuts, how much of a capacity cushion does it have?d. If it costs $50 per lost haircut due to customer dissatisfactionand $100 for each unit of capacityprovided, how much capacity should be built tominimizecosts?After being rejected for employment, Appa Love learns that the Old West Credit Company has hired only 5 women among the last 25 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women. Help her address the charge of gender discrimination by finding the probability of hiring 5 or fewer women when 25 people are hired, assuming that there is no discrimination based on gender. That is, address the claim that the proportion of females hired is 50%. Use the sample data stated above. a. The null and alternative hypothesis would be: Ho : μ 0.5 H₁: p > 0.5 H₁ μ Σ+ Σ Α
