SOLUTION: A quiz consists of 30 true or false questions. If the student guesses on each question, what is the mean and the standard deviation of the number of correct answers?

Question 1178697: A quiz consists of 30 true or false questions. If the student guesses on each
question, what is the mean and the standard deviation of the number of correct
answers?
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
For each question, the probability of answering correctly is 0.5, and the
questions are independent of each other. This situation is described by
a binomial probability distribution. The mean of a binomial distribution
is mu = n*p, where p is the probability of a success and n is the number of
trials. Thus mu = 0.5*30 = 15.
The standard deviation is given by sqrt(np(1-p) = sqrt(30/4) = 2.739
RELATED QUESTIONS
A quiz consists of 20 true or false questions. If the student guesses on each question,... (answered by ewatrrr)

A test consists of 740 true or false questions. if the student guesses on each question,... (answered by ewatrrr)

a test consists of 10 true/false questions. If a student guesses on each question, what... (answered by reviewermath)

a test consists of 100 true or false questions. If the students guesses on each question, (answered by Fombitz)

a test consists of 10 true or false questions to pass the test a student must answer at... (answered by stanbon)

A test consists of 50 true or false questions. If the student guesses on each questions,... (answered by stanbon)

Please help me solve this question A test consists of 10 true or false questions. If... (answered by jim_thompson5910)

A test consists of 10 true of false questions. To pass the test a student must answer at... (answered by Fombitz)

A test consists of 10 true/false questions. To pass the test a student must answer a... (answered by greenestamps)