00:01
So for this problem, i'll note that we are told that we have a mean value or mean number of chip parts per cookie is 7 .1.
00:09
We can model our random variable of the number of chip parts per cookie then, x, as a puissant distribution with lambda equals 7 .1.
00:20
So we'd then be able to say that the probability that x takes on any particular value, x equals k, would be given by lambda to the power of k, times e to the power of negative lambda, divided by k factorial.
00:37
Now what i'm going to do here is calculate out the probability that x equals k for several different values of x.
00:45
All right, so what i've done is i've just typed out the probability that x equals k, putting in our value for lambda, and then with my software, i substitute in k equals 0, 1, 2, 3, 4, and 5, which gives us the result here.
01:00
So we have the left column is the corresponding value of k.
01:04
The right column is the probability of that value.
01:08
So for part a, to find the probability that fewer than five chip parts will be found, x is strictly less than five, we can find the probability that x is less than or equal to four by adding up the corresponding probabilities...