Solve the problem. 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 3.52 0.98 0.96 0.84
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To do this, we multiply each value of x by its corresponding probability P(x) and sum the results: μ = Σ[x * P(x)] From the given table, we have: μ = (0 * 0.1) + (1 * 0.7031) + (2 * 0.156) + (3 * 0.0333) + (4 * 0.0076) μ = 0 + 0.7031 + 0.312 + 0.0999 + 0.0304 μ Show more…
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