When I ride my bike from my house to my office, the trip is 8 miles long. Assume that I am equally likley to get a flat tire at any point on my ride....
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When I ride my bike from my house to my office, the trip is 8 miles long. Assume that I am equally likley to get a

flat tire at any point on my ride. Let X denote the distance away from my office on my ride to work. 

a) Draw the probability density function, f(x), for me getting a flat tire on my way to work at a distance x away from my office. Be sure to label the height of f(x). 

b) What's the probability that a given flat tire happens within a half mile of my house? 

c) What's the probability that a given flat tire happens within a half mile of my office? 

d) Assume that if I get a flat I'll either walk back home or walk to my office. What's the probability that I'll have to walk more than 1 mile if I get a flat tire? 

Top Answer

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20191015d.jpg

The probability density function, f(x), for getting a flat tire
on the way to work at a distance x away from the office.
0,15
0,125
0,1
0,075
0,05
0,025
0 0,5 1 1,5 2 2,5 3 3,5 4 45 5 5,5 6 6,5 7...

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