00:02
Hello students, according to the given question we have to find the mean, standard deviation and probability values.
00:10
It was given x and probability of x values.
00:16
Now in the a bit to find the expected value that is expectation of x is equal to summation x into p of x that is equal to 0 into 0 .4 plus 1 into 0 .3 plus 2 into 0 .1 plus 3 into 0 .1 plus 4 into 0 .1.
00:40
So that will be equal to 1 .2.
00:43
In the b bit expectation of x square is equal to summation x square into p of x that is equal to 0 square into 0 .4 plus 1 square into 0 .3 plus 2 square into 0 .1 plus 3 square into 0 .1 plus 4 square into 0 .1.
01:07
So that will be equal to 3 .2.
01:10
Now variance of x is equal to expectation of x square minus expectation of x whole square.
01:17
So by substituting we get 3 .2 minus 1 .2 whole square that will be equal to 1 .76.
01:27
Now standard deviation of x will be equal to square root of variance of x that is equal to square root of 1 .76 that is equal to 1 .33.
01:40
Now in the c bit to find the mean weekly salary mean weekly salary that will be equal to fixed salary value fixed salary plus additional additional salary for the cars sold into the mean value...