Math  /  Data & Statistics

QuestionIn the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 54.2 inches, and standard deviation of 3.3 inches.
What is the probability that the height of a randomly chosen child is between 54.95 and 58.85 inches? Do not round until you get your your final answer, and then round to 3 decimal places.

Studdy Solution
Calculate the probability:
P(z1<Z<z2)=0.92070.5890 P(z_1 < Z < z_2) = 0.9207 - 0.5890
P(z1<Z<z2)0.3317 P(z_1 < Z < z_2) \approx 0.3317
The probability that the height of a randomly chosen child is between 54.95 and 58.85 inches is approximately:
0.332 \boxed{0.332}

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