UkusakazaL
2021-08-08
boitshupoO
Beginner2021-08-09Added 1 answers
Step 1
Speed is uniformly distributed between 3 and 4.5 km/h from central park to empire state.
(a)
To calculate the CDF of T from the distribution of X.
The random variable X for the speed is given by :
Here,
Assume total walking time is T
i.e
As Distance
Time is inversely proportional to the speed, when the speed is maximum and time is minimum and vice - versa
Time
Total time of walking
The CDF of T is
CDF can be defined as
0, otherwise
Step 2
(b)
To calculate the PDF of T from its CDF
The PDF of T is
differentiate w.r.t "t"
PDF of
PDF can be define as:
0, otherwise
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