Part 1.

3.13 Overweight baggage: Suppose weights of thechecked baggage of airline passengers follow a nearly normaldistribution with mean 44.8 pounds and standard deviation 3.3pounds. Most airlines charge a fee for baggage that weigh in excessof 50 pounds. Determine what percent of airline passengers incurthis fee. (Round to the nearest percent.) __________.

Part 2.

There are two distributions for GRE scores based on the twoparts of the exam. For the verbal part of the exam, the mean is 151and the standard deviation is 7. For the quantitative part, themean is 153 and the standard deviation is 7.67. Use thisinformation to compute each of the following:
(Round to the nearest whole number.)

a) The score of a student who scored in the 80-th percentile onthe Quantitative Reasoning section. ________.
b) The score of a student who scored worse than 65% of the testtakers in the Verbal Reasoning section. ________.

Part 3.

3.10 Heights of 10 year olds: Heights of 10year olds, regardless of gender, closely follow a normaldistribution with mean 56 inches and standard deviation 5inches.

a) What is the probability that a randomly chosen 10 year old isshorter than 47 inches? (Keep 4 decimal places.)____________.
b) What is the probability that a randomly chosen 10 year old isbetween 60 and 66 inches? (Keep 4 decimal places.)__________.
c) If the tallest 10% of the class is considered "very tall", whatis the height cutoff for "very tall"? (Keep 2 decimal places.)________. inches
d) The height requirement for Batman the Ride at Six FlagsMagic Mountain is 55 inches. What percent of 10 year olds cannot goon this ride? (Keep 2 decimal places.) %_______.

Part 4.

3.12 Speeding on the I-5, Part I: Thedistribution of passenger vehicle speeds traveling on theInterstate 5 Freeway (I-5) in California is nearly normal with amean of 72.1 miles/hour and a standard deviation of 5 miles/hour.(Keep 2 decimal places.)

a) What percent of passenger vehicles travel slower than 80miles/hour? _________%
b) What percent of passenger vehicles travel between 60 and 80miles/hour? ____________%
c) How fast do the fastest 5% of passenger vehicles travel?__________ miles/hour
d) The speed limit on this stretch of the I-5 is 70 miles/hour.Approximate what percentage of the passenger vehicles travel abovethe speed limit on this stretch of the I-5. __________%