On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below. x 0 1 2 3 4 5 Total P(x) .08 .31 .26 .20 .14 .01 1.00 (a) Calculate the mean and standard deviation
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Step 1
The mean is calculated by multiplying each outcome by its probability and then summing these products. Mean (μ) = Σ [x * P(x)] = (0 * .08) + (1 * .31) + (2 * .26) + (3 * .20) + (4 * .14) + (5 * .01) = 0 + .31 + .52 + .60 + .56 + .05 = 2.04 Show more…
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