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use the probability distribution for the random variable x to answer th…

Question

use the probability distribution for the random variable x to answer the question.

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$$\begin{array}{c|cccccc} x & 0 & 1 & 2 & 3 & 4 & 5 \\\\ \\hline p(x) & 0.3 & 0.2 & 0.1 & 0.25 & ? & 0.05 \\end{array}$$

find p(4).

Explanation:

Identify the given information and target

Using the Discrete Random Variables knowledge point
We are given a discrete probability distribution table for a random variable \(x\):

$$ LATEXBLOCK0 $$

Our target is to find the missing probability \(p(4)\).

Apply the sum of probabilities rule

Using the Discrete Random Variables knowledge point

$$ LATEXBLOCK1 $$

Solve for the missing probability

Using the Discrete Random Variables knowledge point

$$ LATEXBLOCK2 $$

Answer:

Use the probability distribution for the random variable x to answer the question.

Find p(4). <blank>0.1</blank>