00:01
So this one's a binomial distribution where n is 14 and p is 0 .3, then 1 minus p equals 0 .7.
00:08
So in part a, if we want the probability that x equals 0, that's 14 combination 0 times 0 .3 to the 0 power, times 0 .7 to the 14th power, which is 0 .006, 782.
00:31
In part b, we want the probability that x equals 8, which is 14 combination 8 times 0 .3 to the 8th power times 0 .7 to the 6th power, which is 0 .0 ,2, 1318.
00:55
In c, we want the probability that x is less than or equal to 3, which is the probability that x equals 3 plus the probability that x equals 3 plus the probability.
01:07
Probability that x equals 2 plus the probability that x equals 1 plus the probability that x equals 0 well that's 14 combination 3 times 0 .3 cubed times 0 .7 to the 11 power plus 14 combination 2 times 0 .3 squared times 0 .7 to the 12 power plus 14 combination 1 times 0 .3 to the first power times 0 .7 to the 13th power.
01:56
And then we're going to add the 0 with one in there that i'm not going to find room to fit into it.
02:02
By our, my calculator, the third p equals three.
02:38
I didn't write that down, so hold on.
02:54
It gives me 0 .194 3.
03:08
31672 for it equal to 2 14 combination 2 times 0 .3 squared times 0 .7 to the 12th power is 0 .11 336 0142 plus x equals 4 is 0 .0 .040 plus x equals 4 is 0 .040 .0 .0 .0 .0 .0.
03:46
Why is that 4 not showing up? let's try that again...