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- 4.) Suppose X has moment generating function MX(t) = 0.3e−t + 0.1 + 0.1et + 0.2e2t + 0.3e3t. What is P(X = 2)? What is the P(X = −1)? (To do this problem think about the definition of MX(t) as E(etX) = Σ ext P(X = x)).Give a clear and detailed solution of the intergral of e^-ct/m 2)In Figure 1.6, suppose another Y observation is obtained at X = 45. Would E{Y} for this newobservation still be 104? Would the Y value for this new case again be 108?