a certain population, the height of women (X) is normally distributed with mean 64 and standard deviation 3, while the height of men (Y) is normally distributed with mean 69 and standard deviation 4. You choose a woman I a man at random from the population. The probability that their heights are within 3.2 inches of each other is closest to: (Hint: Consider the distribution of (X-Y)) A: 0.190 B: 0.251 C: 0.311 OD: 0,281 DE: 0.221

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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In a certain population, the height of women (X) is normally distributed with mean 64 and standard deviation 3, while the height of men (Y) is normally distributed with mean 69 and standard deviation 4. You choose a woman
and a man at random from the population. The probability that their heights are within 3.2 inches of each other is closest to: (Hint: Consider the distribution of (X-Y))
OA: 0.190
OB: 0.251
OC: 0.311
OD: 0.281
OE: 0.221
Transcribed Image Text:In a certain population, the height of women (X) is normally distributed with mean 64 and standard deviation 3, while the height of men (Y) is normally distributed with mean 69 and standard deviation 4. You choose a woman and a man at random from the population. The probability that their heights are within 3.2 inches of each other is closest to: (Hint: Consider the distribution of (X-Y)) OA: 0.190 OB: 0.251 OC: 0.311 OD: 0.281 OE: 0.221
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