Question

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 X= height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X?

Answer 1

The distribution of X, representing the height of a randomly selected Martian adult male, is normally distributed with a mean of 66 inches and a standard deviation of 2.5 inches.

Step-by-step explanation:

The distribution of X, the height of a randomly chosen Martian adult male according to the study, is normally distributed with a mean (μ) of 66 inches and a standard deviation (σ) of 2.5 inches.

This can be formally written as X ~ N(66, 2.52), where N represents the normal distribution, the first parameter is the mean, and the second parameter is the variance (which is the square of the standard deviation).