Question 5, 5.2.17-T HW Score: 28.57%, 4 of 14 points multipl View an example | All parts showing answer Assume that random guesses are made for twelve multiple choice questions on an SAT test, so that there are n=12 trials, each with probability of success (correct) given by p=0.45. Find the indicated pa for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4. The probability of obtaining x successes in n independent trials of a procedure that follows a binomial distribution, where the probability of success is p, is given by the following formula P(x)=nCxp*(1-p)*, x=0,1,2 n The phrase fewer than means "less than." The values of the random variable X less than 4 are 3, 2, 1 and 0. P(X<4)= P(3 or 2 or 1 or 0) = P(3) + P(2) + P(1) + P(0) Use technology to find each probability, rounding to six decimal places as needed. P(3)=0.092326 P(2)=0.033853 P(1)=0.007523 P(0)=0.000766 Sum these probabilities to find P(X<4), rounding to four decimal places. 0.092326+0.033853+0.007523+0.000766-0.1345 Thus, P(X<4)= 0.1345 There is a 0.1345 probability that, in a random sample size of 12, there will be fewer than 4 correct answers Close Print Get more help - an example
Question 5, 5.2.17-T HW Score: 28.57%, 4 of 14 points multipl View an example | All parts showing answer Assume that random guesses are made for twelve multiple choice questions on an SAT test, so that there are n=12 trials, each with probability of success (correct) given by p=0.45. Find the indicated pa for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4. The probability of obtaining x successes in n independent trials of a procedure that follows a binomial distribution, where the probability of success is p, is given by the following formula P(x)=nCxp*(1-p)*, x=0,1,2 n The phrase fewer than means "less than." The values of the random variable X less than 4 are 3, 2, 1 and 0. P(X<4)= P(3 or 2 or 1 or 0) = P(3) + P(2) + P(1) + P(0) Use technology to find each probability, rounding to six decimal places as needed. P(3)=0.092326 P(2)=0.033853 P(1)=0.007523 P(0)=0.000766 Sum these probabilities to find P(X<4), rounding to four decimal places. 0.092326+0.033853+0.007523+0.000766-0.1345 Thus, P(X<4)= 0.1345 There is a 0.1345 probability that, in a random sample size of 12, there will be fewer than 4 correct answers Close Print Get more help - an example
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
Related questions
Question
I am confused at how the answers for p(3) p(2) p(1) and p(0) were found
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
Recommended textbooks for you
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage