Solution: Metastatic Carcinoid Tumors. A study of sizes of metastatic carcinoid tumors in the heart was conducted by U. Pandya et al. and published as


Question: Metastatic Carcinoid Tumors. A study of sizes of metastatic carcinoid tumors in the heart was conducted by U. Pandya et al. and published as the article, "Metastatic Carcinoid Tumor to the Heart: Echocardiographic-Pathologic Study of 11 Patients" (Journal of the American College of Cardiology, Vol. 40, pp. 1328-1332). Based on that study, we assume that lengths of metastatic carcinoid tumors in the heart are normally distributed with mean \(1.8 \mathrm{~cm}\) and standard deviation \(0.5 \mathrm{~cm}\). Find the percentage of metastatic carcinoid tumors in the heart that

  1. are between \(1 \mathrm{~cm}\) and \(2 \mathrm{~cm}\) long.
  2. exceed \(3 \mathrm{~cm}\) in length.

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