2. Consider a random 1amiable X with moment generating mction 27 9 1 Mn) = a" +e') + as" + e", t E R. (a) Find the pmfandthe mofX. (b) 15 X a

. Consider a random variable X with moment generating function 

2. Consider a random 1amiable X with moment generating fimction 27 9 1Mn) = a“ +e‘) + as” + fie“, t E R. (a) Find the pmfandthe mofX. (b) 15 X a Binomial random variable? If yes, with what parameters?(1:) What is the standard deviation of X? (d) Compute E[X3].