Discuss the following:
A survey was conducted to measure the height of men. In the survey respondents were grouped by age. In the 20-29 age group the heights were normally distributed with a mean of 67.9 inches and a standard deviation of 3.0 inches. A study participant is randomly selected. Find the probability that his height is less than 67 inches. The probability that the study participant selected at random is less that 67 inches tall? The probability that the study participant selected at random is between 67 and 71 inches tall. The probability that the study participant selected at random is more than 71 inches tall.