Wednesday

March 4, 2015

March 4, 2015

Posted by **Ben** on Wednesday, May 23, 2012 at 3:08pm.

A. What is the probability of getting an answer wrong? (Do you think they want me to ignore the ESP nugget or take it into account?)

b. Let P(x) be the probability of getting exactly x of the five answers right. Calculate p(0) through P(5)

c. What is the probability of getting at least three answers right.

- Math/Prob -
**MathMate**, Wednesday, May 23, 2012 at 3:27pmWe will have to assume the ESP estimation is correct.

The resulting distribution is binomial, with 5 questions, and probability of success p=1-0.6=0.4, q=1-p=0.6 (failure).

The probability of getting exactly n question correct (out of 5) is given by the binomial coefficient

C(5,n)p^n q^(5-n)

where C(5,n)=5!/(n!(5-n)!)

Example:

probability of getting 3 answers right

=P(3) = [5!/(3!2!)]0.4^3 0.6^2

=0.2304

To calculate the probability of getting at least three correct would be:

P(3)+P(4)+P(5)=0.317

**Answer this Question**

**Related Questions**

Math - On a true-false test, each question has exactly one correct answer: true...

Statistics - Please help. Find the probability of getting 2 hearts if the cards ...

Stats - A test has 15 true or false questions and 10 multiple choice questions (...

MATH Prob. - Find the probability of correctly answering the first 4 questions ...

MATH Prob. - Find the probability of correctly answering the first 4 questions ...

PROBABILITY MATH - An unprepared student makes random guesses for the ten true-...

maths - To get an A grade on the test, you need a total score of more than 16 ...

Maths - A true/ false test is given. If a person guesses the answers, the ...

MATH Prob. - Jack is taking a four-item true–false test. He has no knowledge ...

statistics - a test consists of true/false questions .to pass the test a student...