00:01
Hello students, according to the given question, it was given there are total of 819 births.
00:10
So in that there are two categories.
00:15
So the first one is there are 429 baby girls born and the second category was there are 390 baby boys was born.
00:29
So now probability of baby girl is equal to 429 by 819 that is equal to 0 .5 and probability of the baby boy is equal to the probability 390 by 819 that is equal to 0 .5.
00:52
In the a bit here to find probability that x is equal to 429.
01:00
So that is equal to 819 c 429 0 .5 whole power 429 into 1 minus 0 .5 whole power 819 minus 429 that is equal to 0 .0110.
01:18
In the b bit here n is equal to 819 which is greater than 30.
01:23
So here seeing therefore we can write the binomial distribution can be approximated can be approximated to the normal distribution.
01:41
So with the mean value mu is equal to n into p that is equal to 819 into 0 .5 that is equal to 409 .5 and sigma is equal to square root of n p into 1 minus p.
02:04
So sigma is equal to square root of 819 into 0 .5 into 1 minus 0 .5...