00:01
Hello everyone.
00:02
So in this question it is given that the random variable x follows binomial distribution with parameters n np such that n is equal to 38 and p is equal to 0 .65.
00:23
Okay? so finding the value of q here itself which is nothing but 1 minus p will be equal to 0 .3 5.
00:33
So for case of binomial distribution we have probability of x is equal to small x is n c x, p raised to the power x, q raised to the power n minus x.
00:48
Or, in simpler form, by substituting the constant values, 38cx, 0 .65 raised to the power x, multiplied by 0 .35 raised to the power 38 minus x.
01:08
Now here part a is probability of x is equal to 22.
01:15
That is the value of small x is equal to 22 in this case.
01:18
So we have 38 c 22 multiplied by 0 .65 raised to the power 22.
01:27
Multiplied by 0 .35 raised to the power 38 minus 22.
01:32
On solving this we get this value is equal to 0 .0864.
01:37
Coming to next part of the question, part b, we have to find the probability...