SOLUTION: a test consist of 10 true and false questions. To pass the test a student must answer at least eight questions correctly. If a student guess on each question, what is the probabili

Question 350137: a test consist of 10 true and false questions. To pass the test a student must answer at least eight questions correctly. If a student guess on each question, what is the probability that the student will pass the test?
Found 2 solutions by edjones, ewatrrr:
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let x=.5 and y=.5
expand the binomial (x+y)^10
x^10+10x^9y+45x^8y^2=.0547 probability that the student will pass the test.
.
Ed
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Hi
*
Note: The probability of x successes in n trials is:
.
P = C[10,8]* * where p and q are the probabilities of success and failure respectively. In this case both p & q are = 1/2 or .5
.
C[10,8] =
.
P = = .0439
.
4.39% chance of getting 8 of the true and false questions correct
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