A b c d fxx fxx fxx fxx 1 1 1 1 0 0 0 0 x x x x 26546

Name: a b c d fxx fxx fxx fxx 1 1 1 1 0 0 0 0 x x x x 26546
Uploaded: 2022-06-04T07:39:48-08:00
Duration: 7 min 29 s
Channel: Shaiju T
Description: a b c d fxx fxx fxx fxx 1 1 1 1 0 0 0 0 x x x x 26546

Transcript

00:01 Hello students, let's discuss the question.

00:04 Here, cdf is in the form of fx is equal to 1 minus half to the power x plus 1, then x is 0, 1, and so on.

00:17 And if x is less than 0, then f x is equal to 0.

00:23 Now we'll put 1 by 1 values of x and formulate f x.

00:30 So at f0 it equals 1 minus 1 by 2 is equal to 1 by 2.

00:44 Similarly when f1 is equal to 1 minus 2 upon 1 by 2 square is equal to 1 minus 1 by 4 is equal to 3 by 4.

01:01 Similarly when f2 or f2 1 minus 1 by 8 this gives 7 7 by 8 so f0 is equal to f0 minus minus 1 is equal to now when x is less than 0 then f x is equal to 0 so this is equal to 0 so this is equal to 0 so we can say that half minus 0 is equal to 1 by 2 in the similar fashion f1 is equal to f1 minus f0 this gives 1 by 4 sorry 3 by 4 minus 1 by 2 this gives 1 by 4 and for f2 we get f2 minus f1 this gives 7 by 8 minus 3 by 4 this gives 1 by 8 so we can see that here we are getting 1 by 2 here we are getting 1 by 4 and here we are getting 1 by 8 so we can say that when we generalize this generalizes it we get p .m.

03:06 Which is probability mass function as px is equal to x is equal to f x this gives 1 by 2 x plus 1 where x is equal to 0 1 2 and so on and when x is less than 0 then it is 0 then it is 0 so on so when x is to 0 then it is given 1 by 2 when x is equal to 1 it is given 1 by 4 and at 2 it is given 1 by 8 so this is the required pm for x this is the answer of the first part proceeding ahead for expected value x the formula is sigma to infinity x is equal to 0 x multiplied by px when it is equal to x this gives us sigma x is equal to 0 px we have formulated which is x upon divided by 2d3 power x plus 1 on putting the values of x 1 by x 1 by x 1 by 1 1 1 x by 4 plus 2 by 8 plus 3 by 60 and so on so this can be written as this is 1 so this can be written as 1 multiplied by 1 by 4 plus 2 multiplied by 1 by 8 plus 3 multiplied by 1 by 16 and so on so here we are getting a gp...

Question

(a) (b) (c) (d) $$F_X(x)$$ $$F_X(x)$$ $$F_X(x)$$ $$F_X(x)$$ 1 1 1 1 0 0 0 0 x x x x

Question

(a) (b) (c) (d) $$F_X(x)$$ $$F_X(x)$$ $$F_X(x)$$ $$F_X(x)$$ 1 1 1 1 0 0 0 0 x x x x

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