In commuting to work, a professor must first get on a bus near her house and the

Question

In commuting to work, a professor must first get on a bus near her house and then traer to a second bus. f the aiing time (in inutes) at each stop has a uniam distribution withA-0 and S-5, then it can be shown hat the totl ing time Yhas the pof below 5 25 (a) Sketch a graph of the pof ofr fly) fiy) fly) fly) 0.10 0.05 0.05 0.05 0.05 lO 50 cWhat is the probability that total wating tima at mast 4 min? d) Whot is the probability that totl wating tim i at most min? 032 ) What Is the prcbability that tatal watina tima s betwRRn 4 and 7 min? What is the probabilty that tctal wating tme is either less than 3 min or more than 3 min?

Explanation / Answer

SOlving question e which is wrong

Probabiltiy =1- Area under triangle from 3 to 8 minutes

= 2* (Area under triangle from 0 to 3)

=2*1/2*3*0.12= 0.36

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