Serrati marcescens is an infectious bacterial strain causing hospital-acquired infections with a probability of 0.9 per 9,000 patients per month. Over the past month, your hospital has admitted 2,415 patients and observed 5 cases of Serrati marcescens infections. Assume the acquired infections are independent events

1. Approximately how many patients would you need to admit in this time period to have a 50% chance of seeing one or more Serrati marcescens infection? Follow the steps in a-b to answer.
   1. Create a figure showing the probability of seeing one or more infections vs. sample size.
   2. Approximate the sample size required to produce a 50% probability from this curve.
      Approximate sample size: ________?