IB AA SL: core and optional content Core: distribution table and expectation. Optional: variance. Th

Question

IB AA SL: core and optional content

Core: distribution table and expectation. Optional: variance.

There are $8$ red balls, $6$ black balls and $2$ blue balls in a bag. $2$ balls are drawn from the bag without replacement.

Let $X$ be the random variable of number of black balls drawn. Construct the probability distribution table for $X$ and show that $X$ is a discrete random variable. Find $\mathrm{E}\left( X \right)$ and $\mathrm{Var}\left( X \right)$.

Accepted Answer

$	ext{E}\left( X ight)=\frac{3}{4}$; $	ext{Var}\left( X ight)=\frac{7}{16}$

Discrete Random Variables (DRV) - Constructing and Using Discrete Probability Distributions

Discrete Random Variables (DRV) - Constructing and Using Discrete Probability Distributions

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