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In the country of Heightlandia, the height measurements of ten-year-old children are normally distributed with a...

In the country of Heightlandia, the height measurements of ten-year-old children are normally distributed with a mean of 53.4 inches, and standard deviation of 4.5 inches.

Round any probabilities to four decimals.

(a) What is the probability that a randomly chosen child has a height of less than 45.75 inches?  

(b) What is the probability that a randomly chosen child has a height of more than 57.9 inches?  

(c) What is the probability that a randomly chosen child has a height between 49.1 inches and 58.85 inches?  

(d) 15% of the ten-year olds are taller than what height?  

Math   Statistics-And-Probability   
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