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Mathematics, 11.02.2021 09:50 whitlee

21. The heights of three-year-old boys are Normally distributed with a mean of 96 cm. and a standard deviation of 4.5 cm. The next five questions concern this distribution. What percentage of three-year-old boys are over 100 cm. tall? (a) 1.4%
(b) 18.7%
(c) 40.1%
(d) 41.3%
(e) 81.3%
22. The heights of three-year-old boys are Normally distributed with a mean of 96 cm. and a standard deviation of 4.5 cm. What percentage of boys are between 95 and 100 cm. tall?
(a) 1.4%
(b) 18.7%
(c) 40.1%
(d) 41.3%
(e) 81.3%
25. The heights of three-year-old boys are Normally distributed with a mean of 96 cm. and a standard deviation of 4.5 cm. What is the standard score for a three-year-old boy who is 99.5 cm tall?
(a) –1.29
(b) –0.67
(c) 0.67
(d) 0.78
(e) 1.29

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