00:01
Hello, students, we are going to write the probability of succeeding with a new business idea is given.
00:06
So this is the probability of success.
00:09
If you have 10 business ideas, what is the probability that two or fewer ideas will be successful? so here, normal distribution x is binomially distributed, having, if i write here, n value to be 10, and probability of success is 0 .442.
00:27
So if i write here, probability of success to be small p, that is success probability that is given as 0 .442, and probability of unsuccessful, q value would be if i write here for this.
00:48
So this is 1 minus, if i write here 0 .442, so that is equivalent to 0 .558.
00:59
So if i write here, we are going to calculate this probability of random variable x is less than equivalent to 2.
01:10
So this is probability of x is equal to 1 and probability of x is equal to 0.
01:17
Sorry, zero and this is one probability of x is equivalent to 2.
01:21
So now we are going to write here, this must be ncr.
01:26
So in binomial distribution, our probability is x is equals to r.
01:32
This must be, if i write here, let's write this in the bracket.
01:38
So this is ncr, small p, raise to power n minus r.
01:44
If i write here for this, this is, if i write here, small p, raised to power, raise to power, r, and q to power n minus r.
01:56
So now we are going to write here, this is nc0 means 10c0.
02:00
So 0 .442 raise to power 0 and 0 .558, raise to power 10 plus nc1, it means that 10c1 .442, raise to power 1 and 0 .558 raise to power 10 minus 1 which is 9 plus if i write here 10c2 multiplied by 0 .442 raise to power 2 and this must be 0 .558 raise to power 8 so now we are going to write here this value must be 10 c0 10c0 is 1 so this is point so this must be 0 .558, raised to power 10 plus 10c1 is 10.
02:49
10c1 can be calculated as ncr, n factorial, n minus r factorial, and this is r factorial...