Question 4

The random variable X is exponentially distributed with mean : Let Y be the integer part of

X: That is, if X 2 [n, n + 1) ; then Y = n. Find the pgf of Y and hence E (Y ) ,E fY (Y ô€€€ 1)g and var Y:

1

The random variable X is exponentially distributed with mean : Let Y be the integer part of

X: That is, if X 2 [n, n + 1) ; then Y = n. Find the pgf of Y and hence E (Y ) ,E fY (Y ô€€€ 1)g and var Y:

1

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