Question
In: Statistics and Probability
Every day there is a random number of pencils in the mail. Jerry places eraser caps...
Every day there is a random number of pencils in the mail. Jerry places eraser caps on each one that arrives. Jerry has enough eraser caps to cap 600 pencils. Each day, Jerry gets at least two pencils, but not more than a dozen, and he always receives an even number of pencils. Among the possible numbers of pencils Jerry might receive, all are equally likely. Moreover, different days are independent. What is the approximate probability that Jerry's amount of eraser caps will last at least three months? Assume there are 30 days in every month.
Solutions
Expert Solution
Use central limit theorem to approximate the probability of the total number of pencil bought in 30 days being less than or equal to 600.
Central Limit Theorem
Multipyling numerator and denominator of the LHS by n, we get this version of the Central Limit Theorem
Also use additivity of expectation and result for variance of
sums to find the mean and variance of 
to substitute in the central limit theorem.
Note:
orchestra answered 2 years agoRelated Solutions
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