et X_1, X_2, ..., X_100 be i.i.d. Exp(1/2). Approximate the probability that X_1+...+X_100 > 230. What would you put in place of 230 if you wanted to make sure that the probability is very small, say less than 1%?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 26E: Find the probability of each event. Getting 2 red eggs in a single scoop from a bucket containing 5...
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Let X_1, X_2, ..., X_100 be i.i.d. Exp(1/2). Approximate the probability that X_1+...+X_100 > 230. What would you put in place of 230 if you wanted to make sure that the probability is very small, say less than 1%?
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