# Data Management

In a multiple choice test that contains ten questions with each question having five possible answers, what is the probability that Colin will pass the test if he merely guesses at each question?

1. 👍 0
2. 👎 0
3. 👁 91
asked by Scott
1. Probability of getting the right answer for 1 question = 1 choice out of 5, or p=1/5.
Assuming independence among the 10 questions, probability of getting all 10 right = p10

Probability of passing (getting 6 or more right out of 10) using binomial probabilities
=10C6*p^6q^4 + 10C7*p^7q^3 + 10C8*p^8q^2 + 10C9*p^9q + 10C10p^10
=(10752+1536+144+8+1)/9765625
= 12441/9765625
= 0.00127 approx.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Stat HW for.

1. A student taking a midterm exam in Ancient History comes to two questions pertaining to a lecture that he missed, and so he decides to take a random guess on both questions. One question is true-false and the other is multiple

asked by Jen N. on April 21, 2016
2. ### Statistical concept 68-95-99.7

1. A student taking a midterm exam in Ancient History comes to two questions pertaining to a lecture that he missed, and so he decides to take a random guess on both questions. One question is true-false and the other is multiple

asked by Surpreet Pororsha on April 21, 2016
3. ### Statistics

A 10 question test is all multiple choice. Each question has four choices. Determine the mean number of questions answered correctly as well as the standard deviation for the number of correct answers if someone were to guess on

asked by Mona on March 27, 2016
4. ### English for john browm

Let me give you something on "multiple-choice" items that may help you to guess better. Many teachers prepare multiple-choice tests because they are easy to mark and offer the student the advantage of actually seeing what the

asked by SraJMcGin on May 7, 2009
5. ### Stats

An instructor gives a test with 20 multiple choice questions. There are 4 responses per questions and only one choice correct. The test also has 30 True/False questions. Determine the probability a student randomly guessing on all

asked by Lacey on March 31, 2011
6. ### math

Beth Dahlke is taking a ten question multiple choice test for which each question has three answer choice only one of which is correct. Beth decides on answers by rolling a fair die and making the first answer choice if the die

asked by Andrew on November 20, 2012
7. ### math

Beth Dahlke is taking a ten question multiple choice test for which each question has three answer choice only one of which is correct. Beth decides on answers by rolling a fair die and making the first answer choice if the die

asked by Katarzyna on November 19, 2012
8. ### Math

On a multiple choice test you guess he answers to two questions. Each question has five choices. What is the probability that you both answers correct?

asked by Sophiee on March 24, 2011
9. ### Math

On a multiple-choice test you randomly guess the answers to two questions. Each question has five choices. What is the probability that you get both answers correct?

asked by PrettyPlzHelp on March 24, 2011
10. ### statistics

Bill has completed a 10-question multiple-choice test on which he answered 7 questions correctly. Each question had one correct answer to be chosen from five alternatives. Bill says that he answered the test by randomly guessing

asked by elegantina on January 28, 2017

More Similar Questions