Find the standard deviation of the random variable. The random variable X is the number of people who have a college degree in a randomly selected group of four adults from a particular town. Its probability distribution is given in the table. Round the answer to two decimal places. x | 0 | 1 | 2 | 3 | 4 P(X = x) | 0.0081 | 0.0756 | 0.2646 | 0.4116 | 0.2401 0.92 0.84 1.06 2.95
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To do this, we need to multiply each value of X by its corresponding probability and then sum up the results. Mean (μ) = (0 * 0.0051) + (1 * 0.0736) + (2 * 0.2616) + (3 * 0.4116) + (4 * 0.2471) μ = 0 + 0.0736 + 0.5232 + 1.2348 + 0.9884 μ = 2.82 Show more…
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