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1. Complete the following i) ii) iii) calculate P(1 ≤ x ≤ 2) for each of the moment generating functions below a) M(t) = 0.3et 1-0.7 et b) M(t) = exp{et - 1} give the name of the distribution of X and provide the value(s) of the parameter(s) find the mean and the variance of X for t <-In(0.7)

1. Complete the following i) ii) iii) calculate P(1 ≤ x ≤ 2) for each of the moment generating functions below a) M(t) = 0.3et 1-0.7 et b) M(t) = exp{et - 1} give the name of the distribution of X and provide the value(s) of the parameter(s) find the mean and the variance of X for t <-In(0.7)

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1. Complete the following i) ii) give the name of the distribution of X and provide the value(s) of the parameter(s) find the mean and the variance of X iii) calculate P(1 ≤ x ≤ 2) for each of the moment generating functions below a) M(t) = = 0.3et 1-0.7et M(t) = exp{et - 1} b) for t <-In(0.7)
Transcribed Image Text:1. Complete the following i) ii) give the name of the distribution of X and provide the value(s) of the parameter(s) find the mean and the variance of X iii) calculate P(1 ≤ x ≤ 2) for each of the moment generating functions below a) M(t) = = 0.3et 1-0.7et M(t) = exp{et - 1} b) for t <-In(0.7)
Expert Solution
Step 1: Given information

(a) 

M(t)=0.3et1−0.7et

(b)

M(t)=eet−1


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