00:02
Hello.
00:04
So let's look at first the formula for binomial distribution.
00:11
So the probability of x equals x is given by n, combination x times p, exponent x times q exponent n minus x.
00:23
Here q is 1 minus p.
00:29
Let's look at the first part of the question.
00:34
So from the first part of the question, x, oops, second x has been given as five we have n to be eight we have p to be 0 .25 so the probability that x equals 5 is given by 8 combination 5 times 0 .25 exponent 5 times 0 .75 so plug this into the calculator.
01:30
Let's see what we're going to get here.
01:42
So we're going to have 0 .0231.
01:56
Let's look at the second part.
02:01
So for the second part, x equals 6, n equals 8, p equals 0 .65.
02:10
So we're going to have eight combinations 6 times 0 .65, exponent 6 times 0 .35 squared.
02:34
So let's see what we have here.
02:49
Probability is going to be 0 .2587...