Suppose weights of the checked baggage of airline passengers follow a nearly normal distribution with mean 46 pounds and standard deviation 3.1 pounds. Most airlines charge a fee for baggage that weigh in excess of 50 pounds. Determine what percent of airline passengers incur this fee.
Heights of 10 year olds, regardless of gender, closely follow a normal distribution with mean 55 inches and standard deviation 6 inches.
(a) What is the probability that a randomly chosen 10 year old is shorter than 47 inches?
(b) What is the probability that a randomly chosen 10 year old is between 58 and 65 inches?
(c) If the tallest 5 % of the class is considered "very tall", what is the height cutoff for "very tall"?
(d) The height requirement for Batman the Ride at Six Flags Magic Mountain is 54 inches. What percent of 10 year olds cannot go on this ride?
What area under the standard normal distribution for each region?
Z>-1.04
Z<1.82
Z>8
|Z|<0.95