Please answer question 13, and explain me the reason Consider a bus that is supp

Question

Please answer question 13, and explain me the reason

Consider a bus that is supposed to arrive at 12:00. However the arrival time is random in the time interval between 11:30 and 12:30. Because it is a continuous random variable, there is a probability density associated with the distribution, which is as follows. What is the probability that the bus arrives between 11:45 and 12:15? (a) 80% (b) 75% (c) 70% (d) 65% (e) 50% Suppose that you arrived at the bus stop at 11:55. What is the probability that the bus has not arrived at the stop? (a) 80% (b) 75% (c) 70% (d) 65% (e) 50%

Explanation / Answer

13) as probabilty that bus does not come till 11.55 is area is below the line after 11.55.

as we need to find probabilty Bus come after 11:55.

here the area after 11.55 =0.03*(12:10-11:55)+0.01*(12:30-12:10) =0.03*15+0.01*20=0.65

option d is correct

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