Jerry's sister, Colleen, is a Philadelphia-based accountant, and much of her work has her auditing retail companies—literally showing up unannounced—to confirm their in-house inventory matches what their inventory software and tax filings claim. If she finds evidence to suggest there are widespread discrepancies between physical in-store inventory and what's shared with the Internal Revenue Service via inventory reports, she informs the IRS that a more thorough audit is warranted. Assume Colleen is auditing a company that maintains separate records for 4500 different items, 4400 of which are accurate and 100 of which are inaccurate. Rather than examining all 4500 records, Colleen arbitrarily samples 100 of them (without replacement). Let X be the random variable counting the number of inaccurate record found among all 100 samples, assuming all samples are equally likely. What is p_X(x), which is the probability mass function of X as defined above. verify the value of p_X(5) out to four decimal places.
Jerry's sister, Colleen, is a Philadelphia-based accountant, and much of her work has her auditing retail companies—literally showing up unannounced—to confirm their in-house inventory matches what their inventory software and tax filings claim. If she finds evidence to suggest there are widespread discrepancies between physical in-store inventory and what's shared with the Internal Revenue Service via inventory reports, she informs the IRS that a more thorough audit is warranted.
Assume Colleen is auditing a company that maintains separate records for 4500 different items, 4400 of which are accurate and 100 of which are inaccurate. Rather than examining all 4500 records, Colleen arbitrarily samples 100 of them (without replacement). Let X be the random variable counting the number of inaccurate record found among all 100 samples, assuming all samples are equally likely.
What is p_X(x), which is the probability mass
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