see below: Assume that adults have IQ scores that are normally distributed with a mean of 105 and a standard deviation 20. Find P3. which is the IQ score separating the bottom 3% from the top 97%. The IQ score that separates the bottom 3% from the top 97% is P3 = (Round to the nearest hundredth as needed.) Solution the IQ score that separates the bottom 3% from top97% is 67.8.

1. See below:
At one liberal arts college, students are classified as humanities majors, science majors, or
undecided. The chances are 17% that a humanities major will change to a science major from
one year to the next, and 29% that a humanities major will change to undecided. A science major
will change to humanities with probability 0.36, and to undecided with probability 0.26. An
undecided will switch to humanities or science with probabilities of 0.23 and 0.21, respectively.
Find the long-range prediction for the fraction of students in each of these three majors. The
long-range prediction is humanities, science, undecided. (Round to three decimal places as
needed.)
Solution
humanities-38.45%
science-31.02%
undecided-30.53%