00:01
Here, for the solution, for the part first, we know that p of x is equal to n by x multiply by p to the power x multiply by 1 minus p whole to the power n minus x.
00:13
Now the binomial coefficient that n by x is defined by that n by x is equal to n factorial divided by x in bracket n minus x for factorial.
00:25
The full binomial probability formula with the binomial coefficient is that p of x is equal to n factorial divided by x factorial in bracket n minus x whole factorial, multiply by p to the power x, multiply by 1 minus p, whole to the power n minus x.
00:45
Where n is the number of trials, p is the probability of success on a single trial, and x is the number of successes.
00:55
Now we substitute in values for this problem that n is equal to 4, p is equal to 0 .005 and x is equal to 4.
01:06
So by substituting the values in above equation we get p of 4 is equal to 4 factorial divided by 4 factorial in bracket 4 minus 4 whole to the power 4 minus 4.
01:26
By evaluating the expression we have p of 4 is equal to 6 .25e minus 10...