1. 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 distrivuted with a mean of 67.6 inches and a standard deviation of 4.0 inches. A study participant is randomly selected,
Find the probability that the study participant is less than 65 inches tall. (Round to four decimal places)
2. The z-score that corresponds to P 8(subscript) is? (Round to two decimal points.)
3. In a recent year, scores on a standardized test for high school students with a 3.50 to 4.00 gpa were normally distributed, with a mean of 37.9 and a standard deviation of 2.1. A student with a 3.50 to 4.00 gpa who took the test is randomly selected.
The probability of a student scoring less than 36 is? (Round to four decimal places.)