Aspire Faculty ID #17260 · Topic: CUET UG 2022 Applied Mathematics · Just now
CUET UG 2022 Applied Mathematics

If $\mu$ is mean of random variable $X$, with probability distribution:
 x0 1 2 
 P(x = x)4/9 4/9 1/9 
then value of $9\mu+4$ is:

Solution

Mean:

$\mu=\sum xP(X=x)$

$=0\cdot\frac{4}{9}+1\cdot\frac{4}{9}+2\cdot\frac{1}{9}$

$=\frac{4}{9}+\frac{2}{9}$

$=\frac{6}{9}$

$=\frac{2}{3}$

Now,

$9\mu+4$

$=9\left(\frac{2}{3}\right)+4$

$=6+4$

$=10$
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