Metastatic Carcinoid Tumors. A study of sizes of metastatic carcinoid tumors in

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 Car- cinoid Tumor to the Heart: Echocardiographic-Pathologic Study of 11 Patients" (Journal of the American College of Car- diology, Vol. 40, pp. 1328-1332). Based on that study, we as- sume that lengths of metastatic carcinoid tumors in the heart are normally distributed with mean 1.8cm and standard de- viation 0.5 cm. Find the percentage of metastatic carcinoid tumors in the heart that are between 1 cm and 2 cm long. exceed 3 cm in length.

Explanation / Answer

a. P(between 1 and 2)=P(Z1)-P(Z2)

z1=(1-1.8)/0.5=-1.6; p(z1)=0.05

z2=(2-1.8)/0.5=0.4;p(z2)=0.65

P=0.65-0.05=0.60=60%

(b)

z3=(3-1.8)/0.5=2.4; P(Z3)=0.99

P(exceed 3cm)=1-P(Z3)=1-0.99=0.01=1%

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