A jar contains four blue marbles, three red marbles, and two white marbles. What is the probability that a marble randomly selec
2 answers:
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If is the cumulative distribution function for
, then
Then the probability density function for is
:
The th moment of
is
Let , so that
and
:
Complete the square in the exponent:
But is exactly the PDF of a normal distribution with mean
and variance 1; in other words, the 0th moment of a random variable
:
so we end up with