00:01
There are three parts to this question, all stemming around the fact that we are working with binomial probability.
00:13
And for binomial probability, we are going to determine the probability of x number of successes by using the formula ncx times p to the x times one minus p to the n minus x power.
00:35
So in part a, we want to determine the probability that there were two successes, and we know that we are dealing with a binomial experiment where n is 5 and the probability of success is 0 .7.
00:58
So therefore, the probability that there are two successes would be 5c2, or the combination of 5 .5.
01:07
Items taken two at a time times 0 .7 raised to the second power times 1 minus 0 .7 raised to the 5 minus 2 power.
01:20
When you calculate that out to four decimal places, you will get a probability of 0 .1323.
01:30
In part b, you are asked to determine what the mean is and and when you're dealing with binomial distributions, the mean can be found by multiplying the trials, number of trials, times the probability of success...