Normal Approximation to the Binomial
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Normal Approximation to the Binomial

[From: ] [author: ] [Date: 12-04-12] [Hit: ]
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.......
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.

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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.
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