00:02
Hello students, here given n is equal to 5 and p is equal to 0 .40, then x follows binomial distribution with parameter n, p, then pmf of x is equal to probability that x equal to x is ncx p power x 1 minus p power n minus x where x takes the value 0, 1, 2 so on up to n.
00:32
Now, part a probability that x equal to 3 that is exactly 3 male employees, this is equal to 5c3 0 .40 power 3 1 minus 0 .4 power 5 minus 3, so this is equal to 0 .2304 using binomial distribution.
00:57
Now, part b probability that no male that is x equal to 0, this is equal to 5c0 0 .40 power 0 1 minus 0 .40 power 5 minus 0 that is equal to 5 only which is equal to 0 .07776.
01:23
So, probability that x equal to 0 is 0 .0007776.
01:30
Now, part c when the probability of more than 3 female employee is same as probability of less than or equal to 1 that is probability of 0 or male employee that is probability that x equal to 0 plus probability that x equal to 1.
02:21
We know that probability of x equal to 0 is 0 .07776 plus probability of x equal to 1 is 5c0 0 .40 power 1 into 1 minus 0 .40 power 5 minus 1.
02:45
So, this is equal to 0 .07776 plus 0 .2592...