00:01
To solve this question for part a, we will put our value as expected value for x will be equal to, summation of x is equal to 1 to 5 x, f f of x.
00:18
And now this will be as calculated 1 multiplied by f of x, that will be 1 here, added by 2 into f of 2 added by 3 into f of 3 up to 5 values we have to add here so 4 and lastly f of f 5 so when we put down here values as given into the question this will be as 1 into 0 .2 similarly 2 into 0 .25 added by 3 into 0 .1 5 4 into 4 into 2.
00:58
0 .22 added by 5 into 0 .18.
01:04
So when we calculate these values we will get here 2 .93.
01:09
So here is the expected probability answer for part a x is equal to 2 .93.
01:19
So we are done with our first solution of part a of the first question.
01:24
This is our first question part a.
01:28
Now let's move on to the b part of the first question so here we will solve our expected probability for x squared that is summation of x is equal to 1 to 5 again so here x squared f of x so with a similar manner we will start solving this also so here 1 square f of x added by and so on till the 5 term 5 square into f of 5.
02:02
So 1 square is 1 into 0 .2 added by 2 square multiplied by 0 .25 added by 3 squared multiplied by 0 .15 added by 4 square multiplied by 0 .2.
02:23
Then further 5 square multiplied by 0 .18.
02:30
Will be equal to 10 .57.
02:34
So here is the answer for b part that e of x squared is equal to 10 .57.
02:46
So this is our second solution for part question number one.
02:51
Now let's see our third c part.
02:55
Here expected probability for y will be equal to submission of x is equal to 1 to 5.
03:05
1x f of x so this will be solved as 1 multiplied by 0 .2 added by 1 by 2 0 .25 added by 1 by 3 0 .15 added by 1 by 4 multiplied by 0 .22 and then 1 by 5 multiplied by 0 .18 so now when we calculate our value will be equal to for expected value of 5 will be equal to 0 .466.
03:46
So this is our answer for part c here.
03:51
So now here we have our third solution of first question.
03:55
Now for part e we have done with the part e and now part z...