(a) Find the conditional PMF of (W | 2 ≤ W ≤ 6), where W ∼ Geometric(p = 1/2).(b) Find the expected value E[W | 2 ≤ W ≤ 6].
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(a) Find the conditional PMF of (W | 2 ≤ W ≤ 6), where W ∼ Geometric(p = 1/2).
(b) Find the expected value E[W | 2 ≤ W ≤ 6].
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- Assume that the probability that an airplane engine will fail during a torture test is 12and that the aircraft in question has 4 engines. Construct a sample space for the torture test. Use S for survive and F for fail.Let X1 ~ x2 (n, 8) and X2 ~ x² (m, 2) : mX1 find the expected value of X = nX2 E (X).(E,-0,) Estimate 0 by minimizing the function where E, is the expected number of j=1 losses in the jth interval and O, is the observed number of losses in the jth interval. (A) 6.0 (B) 6.4 (C) 6.8 (D) 7.2 (E) 7.6 You are given: (i) The probability that an insured will have exactly one claim is 0. (ii) The prior distribution of 0 has probability density function: 3 7(0) = Vo, 0<0<1 2 A randomly chosen insured is observed to have exactly one claim. Determine the posterior probability that 0 is greater than 0.60.
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