Suppose a box contains {0, 2, 3, 4, 6}. Suppose that 225 draws are made at random with replacement.  The expected value for the sum is . The standard deviation(SD) for the box is 2. Thus, the standard error(SE) for the sum of 225 draws is . The smallest sum possible is . The largest possible sum is . These extreme cases are unlikely. In fact, there is a 95% chance that the sum is only between and .

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...
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QUESTION 7

  1. Suppose a box contains {0, 2, 3, 4, 6}. Suppose that 225 draws are made at random with replacement. 

    The expected value for the sum is .

    The standard deviation(SD) for the box is 2. Thus, the standard error(SE) for the sum of 225 draws is .

    The smallest sum possible is . The largest possible sum is . These extreme cases are unlikely.

    In fact, there is a 95% chance that the sum is only between and .

     
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