Suppose that the positivity rate of a certain population is 2.6%. We decide to test for the disease in batches of size 8. (a) Determine the probability that a batch gives a negative result. (3 DECIMAL PLACES) (b) If X represents the number of tests needed for a batch of size 8, determine E[X]. (2 DECIMAL PLACES)
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- X has PDF f(x) = #/2 if0Suppose that the length X of the life (in years) of a battery for a computer has a distribution that can be described by the pdf: f(x) = e 121 Determine the probability that the battery fails before the one year warranty expires on the computer. e oneThe random variable E is described by the distribution (A · ]sin(e)|, fE(e) = f(x) = {" -TTLet X be the TSH level in an individual. It is assumed that X has an exponential distribution with a mean of 3 µIU /mL. A sample of 12 workers from a logging company is taken. If more than half of the individuals in the sample have TSH levels greater than 4.8 µUI /mL, an intervention program is carried out with the total number of workers in the company. How likely is the intervention program to be needed? a) 0,004 b) 0,006 c) 0,086 d) 0,005 e) 0,003What is the estimated probability of experiencing a sore throat on waking if the duration of the surgery is half an hour.Please answer all part : Let rt be a log return. Suppose that r0, r1, . . . are i.i.d. N(0, 0.01^2). (a) What is the distribution of rt(8) = rt + rt−1 + rt−2 +...+ rt−7? (b) What is the covariance between r7(3) and r9(3)? (c) What is the conditional distribution r17(3) given that r16 =0.004 (d) What is the probability that the gross return over the first 10 times periods is at least 1.05?What is the mean (E[X]) of the following statistical function? f(x)=c*(x)^9 from 0 to 9 and f(x)=0 otherwise.suppose x has an exponential distribution with B=1/8 , then P(X>1)Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. For healthy females, x has an approximately normal distribution with mean ? = 3.6 and standard deviation ? = 0.6. (a) Convert the x interval, 4.5 < x, to a z interval. (Round your answer to two decimal places.) ____< z(b) Convert the x interval, x < 4.2, to a z interval. (Round your answer to two decimal places.)z < ____(c) Convert the x interval, 4.0 < x < 5.5, to a z interval. (Round your answers to two decimal places.) _____< z < ______(d) Convert the z interval, z < −1.44, to an x interval. (Round your answer to one decimal place.)x < ____(e) Convert the z interval, 1.28 < z, to an x interval. (Round your answer to one decimal place.) ____< x(f) Convert the z interval, −2.25 < z < −1.00, to an x interval. (Round your answers to one decimal place.)_____ < x < ____(g) If a female had an RBC count of 5.9 or higher, would that be considered unusually…SEE MORE QUESTIONSRecommended textbooks for youGlencoe Algebra 1, Student Edition, 9780079039897…AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningGlencoe Algebra 1, Student Edition, 9780079039897…AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning