Assume that the random variable X is normally distributed, with mean ? = 46 and standard deviation ? = 7. Compute the probability P(38 < X ? 55). Be sure to draw a normal curve with the area corresponding to the probability shaded. Draw a normal curve with the area corresponding to the probability shaded. Choose the correct graph below. A. B. C. D. The probability P(38 < X ? 55) is . (Round to four decimal places as needed.)
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The Z score is calculated by subtracting the mean from the X value and then dividing by the standard deviation. For X = 38, the Z score is (38 - 46) / 7 = -1.14 For X = 55, the Z score is (55 - 46) / 7 = 1.29 Show more…
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