Roberto farms a tract of land that typically yields 69.6 kilograms of peas. A fertilizer manufacturer claims that its fertilizer
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Answer:
Let X be the number of customer purchased coffee
Let Y be the number of customer purchased donuts
Then is the number of customer purchased both coffee and donuts
is the number of customer purchased both coffee or donuts
<em><u>The Number of customers purchased only Coffee:</u></em>
Number of customers purchased only donuts =n(X -Y)
n(X-Y) = 59 -16
n(Y - X) = 43
<em><u>The Number of customers purchased only donuts:</u></em>
Number of customers purchased only donuts =n(Y -X)
n(Y - X) = 39 -16
n(Y - X) = 23
<u>The Number of customers did not purchase either of these items:</u>
Number of customers did not purchase either of these items =
First lets find
=
= 28
When you have to repeatedly take the same test, with constant probability of succeeding/failing, you have to use Bernoulli's distribution. It states that, if you take tests with "succeeding" probability
, and you want to "succeed" k of those n times, the probability is
In your case, you have n=18 (the number of tests), and p=0.3 (the probability of succeeding). We want to succeed between 8 and 12 times, which means choosing k=8,9,10,11, or 12. For example, the probability of succeeding 8 times is
you can plug the different values of k to get the probabilities of succeeding 9, 10, 11 and 12 times, and your final answer will be