n a certain country, the heights of adult males have a mean 170cm and standard deviation of 10cm, and the heights of adult females have mean 160cm and standard deviation of 8cm; for each sex the distribution of heights approximates closely to a normal probability model. On the hypothesis that height is not a factor in selecting a mate, calculate the probability that 1. a husband and wife selected at random are both taller than 164cm 2. in a randomly selected husband and wife, the wife is taller than the husband 3. the average height of a random couple is greater than 168cm

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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 In a certain country, the heights of adult males have a mean 170cm and standard deviation of 10cm, and the heights of adult females have mean 160cm and standard deviation of 8cm; for each sex the distribution of heights approximates closely to a normal probability model. On the hypothesis that height is not a factor in selecting a mate, calculate the probability that

1. a husband and wife selected at random are both taller than 164cm

2. in a randomly selected husband and wife, the wife is taller than the husband

3. the average height of a random couple is greater than 168cm

 

 

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