Suppose that X₁, X₂, X, are mutually independent random variables with the respective moment generating functions, Mx, (t) = et², Mx, (t) = e²t+3², and Mx, (t) = (-)². . 1-20 a) Calculate the probability that X₂ is between 2 and 4, P(2

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Suppose that X₁, X₂, X3 are mutually independent random variables with the respective moment
generating functions, Mx, (t) = e¹², Mx₂(t) = e²t + 3t², and Mx, (t) = (-)².
a) Calculate the probability that X₂ is between 2 and 4, P(2 < X₂ < 4).
b)
State with parameter(s) the probability distribution of Y = X₁ + X₂
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Transcribed Image Text:13:36 + Suppose that X₁, X₂, X3 are mutually independent random variables with the respective moment generating functions, Mx, (t) = e¹², Mx₂(t) = e²t + 3t², and Mx, (t) = (-)². a) Calculate the probability that X₂ is between 2 and 4, P(2 < X₂ < 4). b) State with parameter(s) the probability distribution of Y = X₁ + X₂ LTE O ☺T / Add a caption... > Status (Custom)
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