Question
A discrete probability distribution for a random variable $\bar{X}$ is given. Use the given distribution to find $(a)$ $P(X \geq 2)$ and $(b) E(X)$.$$p_{i}=(2-i)^{2} / 10, x_{i}=i, i=0,1,2,3,4$$
Step 1
The variable $\bar{X}$ can take values 0, 1, 2, 3, and 4. The probabilities for these values are $(2-0)^{2} / 10$, $(2-1)^{2} / 10$, $(2-2)^{2} / 10$, $(2-3)^{2} / 10$, and $(2-4)^{2} / 10$ respectively. Show more…
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