Question

A student takes a multiple choice test with 10 problems. There are 4 different choices for...

A student takes a multiple choice test with 10 problems. There are 4 different choices for each problem, only one choice being correct. Given that a student choose answers randomly, what is the expected number of correct answers? Hint: use a binomial random variable.

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
a student takes a multiple choice test that has 30 questions. each question has 5 choices....
a student takes a multiple choice test that has 30 questions. each question has 5 choices. the student did not study for the test and decides to randomly guess at each question. a) find the probability the student gets exactly 10 problems correct. b) calculate the mean. c) calculate the standard deviation. statistics and probability.
On Excel, A multiple choice test has 30 problems, and 4 choices for each problem. A...
On Excel, A multiple choice test has 30 problems, and 4 choices for each problem. A student taking the test does not know the correct answer for any of the problems and guesses each answer. What is the probability that the student will answer at least 10 questions correctly?
A student takes a multiple-choice test that has 10 questions. Each question has five choices. The...
A student takes a multiple-choice test that has 10 questions. Each question has five choices. The student guesses randomly at each answer. 1. Find P(2) 2. P (more than 3)
A student takes a multiple-choice test that has 40 questions. Each question has 5 choices. The...
A student takes a multiple-choice test that has 40 questions. Each question has 5 choices. The student did not study for the test and decides to randomly guess at each question. (Hint: The probability of guessing correctly is 0.2.) Round the probability to four decimal places. a) Find the probability the student gets exactly 10 problems correct._______________ (Show work.) b) Calculate the mean.____________ c) Calculate the standard deviation._____________ Your flight has been delayed. At Philadelphia International Airport, 90% of recent...
A student takes a multiple choice test consisting of 5 questions where there are 4 choices...
A student takes a multiple choice test consisting of 5 questions where there are 4 choices per question. Also, each question is worth 20 points. Suppose the student guesses on each question. Let X be the number of questions the student gets correct. The probability distribution for X is given below. Find the variance of X. Do not give units and give your answer to four decimal places. x 0 1 2 3 4 5 P(X=x) 0.2373 0.3955 0.2637 0.0879...
A student takes a 19 question multiple choice quiz with 4 choices for each question. If...
A student takes a 19 question multiple choice quiz with 4 choices for each question. If the student guesses at random on each question, what is the probability that the student gets more than 2 questions correct?
A multiple-choice test consists of 20 items, each with four choices. A student is able to...
A multiple-choice test consists of 20 items, each with four choices. A student is able to eliminate one of the choices on each question as incorrect and chooses randomly from the remaining three choices. A passing grade is 12 items or more correct. Let X be the number of questions the student answers correctly. a) What is the pdf of X? b) What is the probability that the student passes? c)What is the E(X) & Var(X)? d)What is the m.g.f...
Answers to Multiple-Choice Problems: A student wants to see if the correct answers to multiple choice...
Answers to Multiple-Choice Problems: A student wants to see if the correct answers to multiple choice problems are evenly distributed. She heard a rumor that if you don't know the answer, you should always pick C. In a sample of 100 multiple-choice questions from prior tests and quizzes, the distribution of correct answers are given in the table below. In all of these questions, there were four options {A, B, C, D}. Correct Answers (n = 100) A B C...
Answers to Multiple-Choice Problems: A student wants to see if the correct answers to multiple choice...
Answers to Multiple-Choice Problems: A student wants to see if the correct answers to multiple choice problems are evenly distributed. She heard a rumor that if you don't know the answer, you should always pick C. In a sample of 100 multiple-choice questions from prior tests and quizzes, the distribution of correct answers are given in the table below. In all of these questions, there were four options {A, B, C, D}. Correct Answers (n = 100) A B C...
Answers to Multiple-Choice Problems: A student wants to see if the correct answers to multiple choice...
Answers to Multiple-Choice Problems: A student wants to see if the correct answers to multiple choice problems are evenly distributed. She heard a rumor that if you don't know the answer, you should always pick C . In a sample of 100 multiple-choice questions from prior tests and quizzes, the distribution of correct answers are given in the table below. In all of these questions, there were four options {A, B, C, D}. Correct Answers (n = 100)   A     B  ...