Let X~N, (u, Σ) 1. size n = 10 with μ' = (5 -2 4) 6 5 -3 Σ= 5 7 0 -3 0 4 find the distribution of X, and (X₂.X₂) and
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- Let X = Red blood cell count in millions per cubic millimeter of whole blood for healthy females ex has been approximately normal distribution which means U = 5.1 and standard deviation O = 0.6 (a) Convert the x interval, 4.5 < x, to a z interval. (Round your answer to two decimal places.) (b) Convert the x interval, x < 4.2, to a z interval. (Round your answer to two decimal places.) (c) Convert the x interval, 4.0 < x < 5.5, to a z interval. (Round your answers to two decimal places.) (d) Convert the z interval, z < -1.44, to an x interval. (Round your answer to one decimal place.) (e) Convert the z interval, 1.28 < z, to an x interval. (Round your answer to one decimal place.) (f) Convert the z interval, -2.25 < z < -1.00, to an x interval. (Round your answers to one decimal place)1.- A study conducted in the automotive field states that more than 40% of vehicle engine failures are due to problems in the cooling system. To test this statement, a study is carried out on 70 vehicles and the critical region is defined as x < 26, where x is the number of vehicle engines that have problems in the cooling system. (use the normal approximation)a) Evaluate the probability of making a type I error, assuming that p = 0.4.b) Evaluate the probability of committing a type II error, for the alternative p = 0.3.distributions of both Y1 and Yn are uniform and continuous
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