F(t) = [t]/6 for 0<=t<=6
Here [t] represents the greatest integer function
F(y) = [y]/6 for 0<=y<=6 is the cdf of random variable Y.
Since here y can take any values between 0 and 6, therefore Y is a continous type random variable.
Now the pdf of Y
f(y) = 1/6 when 1<=y<=6
0 otherwise
This is the required pdf of Y.
Please upvote. Thanks!
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