Chandler Floyd
05/14/2024 · Primary School

According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 66 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 ? \( \mathrm{X}-\mathrm{N}(66 \) b. Find the probability that the person is between 67.4 and 69.8 inches. c. The middle \( 50 \% \) of Martian heights lie between what two numbers? Low: inches High:

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a. \( X \sim N(66, 2.5^2) \) b. The probability is approximately 0.2234. c. Low: 64.3138 inches, High: 67.6862 inches

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