00:01
Firstly, let's summarize this problem.
00:03
Variable x follows binomial distribution with parameter n equals 7 and p equals 0 .27.
00:15
The task is to find the probability that x is greater than 2.
00:22
This equals 1 minus probability that x is less or equals to, or 1 minus probability that x equals 0 plus probability that x equals 1 plus probability that x equals 2.
00:51
Let's remind the formula for the binomial distribution.
00:56
Probability that x equals k equals n k times p in power k times 1 minus p in power n minus k.
01:13
So let's find each needed probability.
01:17
The first one, x equals 0 equals 7c0.
01:23
Times 0 .27 in the power 0 times 1 minus 0 .27 in the power 7 minus 0 .0.
01:38
And this equals 1 times 1 times 0 .73 in the power 7 and this will be 0 .11 .7474.
01:57
The next one probability that x equals 1 equals 7c1 times 0 .27 in the power 1 times 1 minus 0 .27 in the power 7 minus 1...