Company A manufactures computer applications boards. They are concerned with the mean time before failures (MTBF), which they regularly measure. Denote the sample MTBF as ǔM and the true MTBF as μM. Determine the number of failures that must be measured before ǔM lies within 20 % of the true μM with a 90% probability. Assume the PDF is exponential, i. e fM(x) = (1 / µM) exp (– x / µM) u( x).
Answer to relevant QuestionsA political polling firm is conducting a poll in order to determine which candidate is likely to win an upcoming election. The polling firm interviews likely voters and asks each whether or not they will vote for the ...In this exercise, a proof of equation (7.73) is constructed. Write the random sum as Where is a Bernoulli random variable in which Yi = 1 if N ≥ i and Yi = 0 if . (a) Prove that Yi and are Zi independent and hence (b) ...Show that if Xn ,n = 1, 2, 3, … is a sequence of IID Gaussian random variables, the sample mean and sample variance are statistically independent. Let X (t) be a modified version of the random telegraph process. The process switches between the two states X (t) = 1 and X (t) = –1 with the time between switches following exponential distributions, fT (λs) = λexp ...Let X (t) be a WSS random process with mean uX and autocorrelation function RXX ( r ). Consider forming a new process according to a) Find the mean function of Y (t). b) Find the autocorrelation function of Y (t). Is Y (t) ...
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