SOLUTION: In a ten-question multiple-choice test with four choices for each question, a student who was not prepared guesses on each item. Find each probability. a. P(six questions correct

Question 193171: In a ten-question multiple-choice test with four choices for each question, a student who was not prepared guesses on each item. Find each probability.
a. P(six questions correct)
b. P(at least eight questions are correct)
c. P(fewer than eight questions correct)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
In a ten-question multiple-choice test with four choices for each question, a student who was not prepared guesses on each item. Find each probability.
P(correct) = 1/4 ; P(wrong) = 3/4
--------------------------------------------
a. P(six questions correct)= 10C6*(1/4)^6*(3/4)^4 = 0.01622
-------------------------------------------------
b. P(at least eight questions are correct)= 1-binomcdf(10,1/4,7) = 0.000415802...
-------------------------------------------------
c. P(fewer than eight questions correct) binomcdf(10,1/4,7) = 0.99958
========================================================================
Cheers,
Stan H.

RELATED QUESTIONS
in a ten question multiple-choice test with 4 choices for each question, a student who is (answered by edjones)

A multiple-choice test consists of ten questions. Each with four choices. Calculate the... (answered by stanbon)

A student takes a 4-question, multiple-choice quiz with 3 choices for each question. If... (answered by mathmate)

a student takes a 22 question multiple choice exam with four choices for each question... (answered by solver91311)

In a test there are 3 multiple choice questions, each with 4 choices. A student randomly... (answered by Boreal)

A student takes a 4 question multiple choice quiz with 4 choices for each question. If... (answered by stanbon)

a student takes a 4 question multiple choice quiz with 4 choices for each question. IF... (answered by stanbon)

A student takes a 5 question multiple choice quiz with 4 choices for each question. If... (answered by Fombitz)

A standardized test consists of only multiple choice questions, each with 5 possible... (answered by stanbon)