00:01
In this question, we have been given to calculate the value of probability such that x follows binomial distribution and it can be here written as binomial.
00:09
Now the value of n will be here equals to 9.
00:13
So, the value of p will be here equals to 0 .59 and thus here the value of, let us write probability mass function is probability of x and that is n c x p raised to the power x and it is here 1 minus p raised to the power n minus x.
00:31
So, from this information we can say that the value of probability of x and that is equals to here 3.
00:38
So, this is going to be 9 c x or it can be written as 9 c 3 and then it is 0 .59 raised to the power 3 and then it will be 1 minus 0 .59 raised to the power 9 minus 3 which is going to be 6.
00:52
So, if we simplify this very expression, it is here 0 .0 and then it will be 8195.
00:58
So now here in the second part of this very problem, we can say that probability of x and that is less than 4 is going to be here equals to probability of x and that is less than equals to 3.
01:11
So, it will be here, let us write summation and it is here x is equals to 0 and that is here 3.
01:17
Now it will be here 9 and then it is here c x and now it is 0 .59 raised to the power x and then it is 1 minus 0 .59 which is basically 0 .41.
01:29
So, it will be 9 minus x...