SOLUTION: A student takes a quiz consisting of 5 multiple choice questions. Each question has 4 possible answers. If a student is guessing the answers at random, and the answers to differe
Algebra.Com
Question 114795: A student takes a quiz consisting of 5 multiple choice questions. Each question has 4 possible answers. If a student is guessing the answers at random, and the answers to different questions are independent,
A. Find the probability of giving 5 correct answers.
B. Find the probability of giving 5 incorrect answers.
C. Find the probability of giving at least 1 correct answer.
D. Find the probability of giving exactly 1 correct answer.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A student takes a quiz consisting of 5 multiple choice questions. Each question has 4 possible answers. If a student is guessing the answers at random, and the answers to different questions are independent,
-------------
Four possible answers means P(correct answer) = 1/4; P(wrong answer) = 3/4
--------------
Let "x" be the number of correct answers.
--------------
A. Find the probability of giving 5 correct answers.
P(x=5) = (1/4)^5 = 0.000976...
-----------------
B. Find the probability of giving 5 incorrect answers.
P(x=0) = (3/4)^5 = 0.237...
------------------
C. Find the probability of giving at least 1 correct answer.
P(x>=1)= 1 - P(x=0)
= 1 - 0.237...
= 0.76269....
------------------
D. Find the probability of giving exactly 1 correct answer.
P(x=1) = 5C1(1/4)(3/4)^4 = 5*(1/4)(0.3164...) = 0.39550....
======================
Cheers,
Stan H.
RELATED QUESTIONS
In a history class, student take a weekly multiple choice quiz consisting of 6 questions, (answered by stanbon)
A teacher gives a quiz consisting of 4 questions each questions has 5 possible answers... (answered by checkley79)
Suppose a quiz has 11 multiple choice questions. Each question has 5 answer choices. If a (answered by Fombitz)
A student takes a 5 question multiple choice quiz with 4 choices for each question. If... (answered by Fombitz)
A quiz consists of 6 multiple-choice questions. Each question has 4 possible answers. A... (answered by Edwin McCravy)
In a history class, students take a weekly multiple choice quiz consisting of 6... (answered by stanbon)
Teacher gave his class a multiple choice quiz containing five questions. A student must... (answered by stanbon)
each question of a 5-question multiple choice exam has 4 possible answers. suppose a... (answered by richwmiller)
A student takes a 4 question multiple choice quiz with 4 choices for each question. If... (answered by stanbon)