5) In a certain town, 40% of adults have a college degree. The accompanying table describes the probability distribution for the number of adults (among 4 randomly selected adults) who have a college degree. Find the standard deviation for the probability distribution. x | P(x) --|-- 0 | 0.1296 1 | 0.3456 2 | 0.3456 3 | 0.1536 4 | 0.0256 A) 1.88 B) 0.98 C) 1.12 D) 0.96
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To do this, we multiply each value of x by its corresponding probability P(x) and sum the results: μ = (0 * 0.1296) + (1 * 0.3456) + (2 * 0.3456) + (3 * 0.1536) + (4 * 0.0256) μ = 0 + 0.3456 + 0.6912 + 0.4608 + 0.1024 μ = 1.6 Show more…
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