A normal distribution. The x-axis goes from 1.378 to 2.422 and is labeled x Overbar = sample mean number of children. A vertical line is at x = 2. Everything under the curve and to the right of the line is shaded. Shape: Normal Mean: 1.9 children Standard deviation: StartFraction 1.1 Over StartRoot 40 EndRoot EndFraction ≈ 0.174 children If 40 families from the United States are randomly selected what is the probability that the mean number of children per family is at least 2 children? Use this standard Normal table to calculate this probability. Include 4 decimal places in your answer. P (x Overbar greater-than 2) = P (z greater-than StartFraction 2 minus 1.9 Over 0.174 EndFraction = P(z > 0.57) ≈



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