For each of the following statements, select Yes if the statement must be true of a boy selected at...

题目信息

Height-for-age standards

The World Health Organization (WHO) has produced a comprehensive set of growth standards for children. These standards are based on studies of children living in 6 nations on 5 continents under optimal conditions with respect to health and nutrition. The table displays the percentile distribution of height, in centimeters, at 3-month intervals, for boys ages 2 through 5 according to the WHO model In a model population-a large population of boys ages 2 through 5 that conforms to the WHO growth standards-for n = 3,15,50,85, and 97, the nth percentile in height for a given age is the unique height among boys of that age that is greater than or equal to n percent, and less than or equal to (100- n) percent, of heights of boys of that age.

Weight-for-height standards

The graph shows the percentile distribution of weight, in kilograms, for heights from 80 cm to 120 cm, for boys ages 2 through 5, according to the WHO model. In a model population, for n = 3,15,50,85, and 97, the nth percentile in weight for a giver height is the unique weight among boys of that height that is greater than or equal to n percent, and less than or equal to (100-n) percent, of weights of boys of that age.

For each of the following statements, select Yes if the statement must be true of a boy selected at random from a model population. Otherwise, select No.

Yes

If his age is exactly 4 years 0 months, the probability that his height is at exactly 99.0 cm is 15%.

If he is 81 cm tall, he is shorter than at least 95% of boys his age.

If he is 120 cm tall, he weighs more than 97% of boys age 2 years 6 months.

参考答案及共享解析

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正确答案： No:If his age is exactly 4 years 0 months, the probability that his height is at exactly 99.0 cm is 15%.; Yes:If he is 81 cm tall, he is shorter than at least 95% of boys his age.; No:If he is 120 cm tall, he weighs more than 97% of boys age 2 years 6 months.;

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