Suppose X Is a Random Variable Whose Probabilities Are Poisson $\mathrm { P } _ { \mathrm { n } }$

Multiple Choice

Suppose X is a random variable whose probabilities are Poisson distributed with $\mathrm { P } _ { \mathrm { n } }$ = $\frac { ( 14 ) ^ { n } } { n ! }$ $e ^ { - 14 }$ . Which of the following is true?

A) The probability that x = 14 is approximately 0.1060.
B) The standard deviation of X is 14.
C) The expected value of X is $e ^ { - 14 }$ .
D) The probability that x = 0 is zero.