Question

The length of a city’s bus routes are normally distributed with a mean of 14.5 mi and a standard deviation of 3.2 mi. (

a. what percentage of city bus routes are less than 15 mi? (
b. what percentage of city bus routes are greater than 20 mi? (
c. what percentage of city bus routes are less than 10 mi? answer:

Answer 1

A simulator that randomly generates a line of 16 plus signs or o’s was run 5 times to represent the percentage of members who pay for a trainer at a fitness gym. The plus signs represent the members who pay for a trainer.
First simulation: +ooo+oo++o+oo+o+
Second simulation: ++ooooo++o++o++o
Third simulation: +oo++ooo+oo+o+o+
Fourth simulation: oo+o+o++oo+o+++o
Fifth simulation: ooo+o++o++o++oo+
Based on the simulation results, what percent of members do you think pay for a trainer? Show your work.

First simulation: 7 +'s
Second simulation: 8 +'s
Third simulation: 7 +'s
Fourth simulation: 8 +'s
Fifth simulation: 8 +'s

Number of +'s : 7 + 8 + 7 + 8 + 8 = 38
Total +'s and o's: 16*5 = 80

percent of members who pay for trainer:
38/80 * 100 = 47.5 %