SOLUTION: A statistics textbook chapter contains 66 exercises, 12 of which are essay questions. A student is assigned 16 problems. What is the probability that at least one is essay?

Question 841689: A statistics textbook chapter contains 66 exercises, 12 of which are essay questions. A student is assigned 16 problems. What is the probability that at least one is essay?

Found 2 solutions by stanbon, reviewermath:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A statistics textbook chapter contains 66 exercises, 12 of which are essay questions. A student is assigned 16 problems. What is the probability that at least one is essay?
--------
Binomial Problem with n = 16 and p(essay) = 12/66 = 2/11
--------------------
P(at least one) = 1 - P(none are essay)
----
= 1 - (9/11)^16
= 1 - 0.0403
= 0.9597
==================
Cheers,
Stan H.
==================
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Q:
A statistics textbook chapter contains 66 exercises, 12 of which are essay questions. A student is assigned 16 problems. What is the probability that at least one is essay?
---------------------------------------------------------
A:
If we use Binomial Distribution, we only get an approximate answer since the probability of success (the event of answering an essay question) is different from trial to trial.
We use Hypergeometric Distribution to get the exact answer.
P(none are essay) = = 0.02466
Therefore, P(at least one essay) = 1 - 0.02466 =
RELATED QUESTIONS
A statistics textbook chapter contains 66 exercises, 12 of which are essay questions. A... (answered by Boreal)
A statistics textbook chapter contains 64 exercises, 10 of which are essay questions. A... (answered by Boreal)
A statistics textbook chapter contains 60 exercises, 6 of which are essay questions. A... (answered by ikleyn)
Textbook authors and publishers work very hard to minimize the number of errors in a... (answered by stanbon)
A student must answer four of the six essay questions on a history test. how many... (answered by jim_thompson5910)
An instructor has written 20 problems. Five of these are so important that she assigns... (answered by Edwin McCravy)
A student is taking a multiple-choice exam with 16 questions. Each question has five... (answered by ewatrrr)
You are taking a test in which multiple choice questions are worth 9 points and essay... (answered by lynnlo)
There is a test worth 204 total points. The test has true/false questions worth 2... (answered by ikleyn)