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mamaluj [8]
3 years ago
8

suppose X has amean of 5 and standard deviation of 2, what are the mean and standard deviation of ((3x)+4)​

Mathematics
1 answer:
skad [1K]3 years ago
6 0

If you apply a linear transformation

aX+b

to a random variable X, the mean and standard deviations change as follows:

\mathbb{E}(aX+b)=a\mathbb{E}(X)+b

\sigma(aX+b)=a\sigma(X)

So, the new mean is

3\cdot 5+4=15+4=19

and the new standard deviation is

3\cdot 2=6

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