00:01
Compute p of x using the binomial probability formula, then determine whether the normal distribution can be used to estimate this probability.
00:11
So, approximate p of x using the normal distribution and compare the result with exact probability.
00:18
N is equal to 80, p is equal to 0 .82, and x is equal to 61.
00:29
Those are our given parameters.
00:35
So, using the binomial probability distribution, the probability that x equals 61 is 80 combination 61 times 0 .82 to the 61st power times 0 .18 to the 19th power, and that is 0 .0454 for our probability.
01:09
Can the normal distribution be used to approximate this probability? so, we need to calculate n times p times 1 minus p, and we need to see if that is greater than or equal to 10.
01:27
So, 80 times 0 .82 times 1 minus 0 .82, so 80 times 0 .82 times 0 .18 is 11 .808, and that is in fact greater than 10.
01:45
So, we can answer part c, oh no, not part c, part d, yes, the normal distribution can be used.
02:03
And approximate the probability of x using the normal distribution...