1 7/8 tons of sand will be required to fill the playground
For the events "shower gel” and "scented” to be independent, what must be shown to be true? P(lotion) = 42% P(scented) = 42% P(s
2 answers:
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Adding 2 to each value of the random variable makes a new random variable
. Its mean would be
since expectation is linear, and the expected value of a constant is that constant. is the mean of
, so the new mean would be
The variance of a random variable is
so the variance of would be
We already know , so simplifying above, we get
Standard deviation is the square root of variance, so .
so the standard deviation remains unchanged at 3.
NB: More generally, the variance of for
is
but the variance of a constant is 0. In this case, , so we're left with
, as expected.