Lambert Romero
06/21/2024 · Middle School
According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 68 inches and a standard deviation of 2.5 inches. Suppose one Martian adult male is randomly chosen. Let \( \mathrm{X}= \) height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X ? \( \mathrm{X} \sim \mathrm{N}( \) b. Find the probability that the person is between 63.5 and 64.6 inches. c. The middle \( 40 \% \) of Martian heights lie between what two numbers? Low:
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a. \( X \sim N(68, 2.5^2) \)
b. The probability is approximately \( 0.0510 \).
c. The middle 40% of Martian heights lie between approximately 66.6900 and 69.3100 inches.
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