00:01
Here we need to calculate the probability of x that is equal to 4.
00:05
Here we need to answer that the probability of sum of that is 1.
00:09
Sum of which is equal to 1.
00:13
Here given the probabilities for the other values of x we can calculate.
00:17
Here we can calculate here that is probability of x is equal to 4.
00:23
Here that is equal to 1 minus probability of x is equal to 0 plus probability of x is equal to 1 plus probability of x is equal to 2 plus probability of x is equal to 3.
00:39
Now here this is equal to 1 minus here 0 .09 plus 0 .18 plus 0 .25 plus 0 .41.
00:51
And here this is equal to 1 minus 0 .93.
00:55
Here that is equal to 0 .07.
00:59
Now here we have that is probability of x is equal to 4.
01:04
Here that is equal to 0 .07.
01:07
Here we can proceed to calculate for the standard deviation x.
01:11
So here that is the standard deviation of x.
01:17
That is here the sigma.
01:19
Here the formula that is here.
01:22
The summation of here that is x minus mu whole square into here that is probability of here that is x that is equal to x.
01:32
Here whole root over.
01:37
Now here the sigma.
01:40
Sigma is the standard deviation.
01:45
Sigma is the standard deviation of x.
01:47
X is the value of the random variable.
01:53
Of the random variable.
01:57
And here mu.
01:59
Mu is the mean.
02:01
Mean of the random variable.
02:04
Mean of the random variable.
02:09
And here probability of x that is equal to x.
02:13
Here this is the probability of x.
02:16
Probability of x taking the value x...