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 2.3 inches. Suppose one Martian adult male is randomly chosen. Let X- height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that the person is between 63.7 and 65.8 inches. c. The middle 20% of Martian heights lie between what two numbers? L'ow: inches High: inches

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**Martian Height Study**

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 2.3 inches. Suppose one Martian adult male is randomly chosen. Let \( X \) = height of the individual. Round all answers to 4 decimal places where possible.

a. What is the distribution of \( X \)? \( X \sim N(\,\,\_\_\_\_\_\_\,,\,\,\_\_\_\_\_\_\) \, )

b. Find the probability that the person is between 63.7 and 65.8 inches.

c. The middle 20% of Martian heights lie between what two numbers?
- Low: \_\_\_\_\_ inches
- High: \_\_\_\_\_ inches

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*Note*: There are no graphs or diagrams provided with this text.
Transcribed Image Text:**Martian Height Study** 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 2.3 inches. Suppose one Martian adult male is randomly chosen. Let \( X \) = height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of \( X \)? \( X \sim N(\,\,\_\_\_\_\_\_\,,\,\,\_\_\_\_\_\_\) \, ) b. Find the probability that the person is between 63.7 and 65.8 inches. c. The middle 20% of Martian heights lie between what two numbers? - Low: \_\_\_\_\_ inches - High: \_\_\_\_\_ inches **[Submit Question]** *Note*: There are no graphs or diagrams provided with this text.
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