Can any of you please help me out on how to complete this statistics problem?
A multiple-choice test consists of 25 questions with possible answers of a,b,c,d, and e. (only 1 of which is correct).
Use the Normal Approximation to the Binomial with a continuity correction to estimate the probability that with random guessing, the number of correct answers will be between 5 and 10.
A multiple-choice test consists of 25 questions with possible answers of a,b,c,d, and e. (only 1 of which is correct).
Use the Normal Approximation to the Binomial with a continuity correction to estimate the probability that with random guessing, the number of correct answers will be between 5 and 10.
-
The change of a random guess being right is p = 1/5 = 0.2
The number of right answers will follow a binomial distribution with n = 25 and p = 0.2.
The binomial distribution has mean np and standard deviation sqrt[np(1-p)]. Calculate those two things. Based on that mean and standard deviation, figure out the Z values of 5 and 10.
Then use your normal distribution calculator or table to find the probability of being between those two Z scores.
The number of right answers will follow a binomial distribution with n = 25 and p = 0.2.
The binomial distribution has mean np and standard deviation sqrt[np(1-p)]. Calculate those two things. Based on that mean and standard deviation, figure out the Z values of 5 and 10.
Then use your normal distribution calculator or table to find the probability of being between those two Z scores.