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 %