SOLUTION: In a test there are ten multiple choice questions. For each question there is a choice of four answers, only one of which is correct. A student guesses each of the answers.
a.
Algebra.Com
Question 473237: In a test there are ten multiple choice questions. For each question there is a choice of four answers, only one of which is correct. A student guesses each of the answers.
a. Find the probability that he gets more than seven correct.
He needs to obtain over half of the marks to pass and each question carries equal weight.
b. Find the probability that he passes the test.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a test there are ten multiple choice questions. For each question there is a choice of four answers, only one of which is correct. A student guesses each of the answers.
---
Binomial Problem with n=10 and p = 1/4
------
a. Find the probability that he gets more than seven correct.
P(8<= x <=10) = 1 - P(0<= x <=7) = 0.0004158
--------------
He needs to obtain over half of the marks to pass and each question carries equal weight.
b. Find the probability that he passes the test.
P(6<= x <=10) = 1-P(0<= x <=5) = 0.0197
============
Cheers,
Stan H.
============
RELATED QUESTIONS
Two questions are on a test. There are 4 multiple choice answers for each question, but... (answered by edjones,stanbon)
A multiple choice test consists of four questions. Each question has five possible... (answered by Fombitz)
In a test there are 3 multiple choice questions, each with 4 choices. A student randomly... (answered by Boreal)
For each question on a multiple choice test, there are 5 possible answers of which... (answered by stanbon)
1. A student randomly answers the 7 questions on a multiple choice test.
Each... (answered by Edwin McCravy)
You take a test in which there are 157 points possible. The test consists of true/false... (answered by ikleyn)
On a multiple choice test with 24 questions, each question has four possible answers, one (answered by stanbon)
On a multiple choice test with 7 questions, each question has four possible answers, one... (answered by stanbon)
A student is taking a multiple-choice exam in which each question has four choices.... (answered by ikleyn)