Question 265604: 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” Based on that study, we assume that lengths of metastatic carcinoid tumors in the heart are normally distributed with mean 1.8cm and standard deviation 0.5cm. Find the percentage of metastatic carcinoid tumors in the heart that
a. are between 1 cm and 2 cm long.
b. Exceed 3 cm in length
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Based on that study, we assume that lengths of metastatic carcinoid tumors in the heart are normally distributed with mean 1.8cm and std 0.5cm.
Find the percentage of metastatic carcinoid tumors in the heart that
a. are between 1 cm and 2 cm long.
z(1) = (1-1.8)/0.5 = -0.8/0.5 = -1.6
z(2) = (2-1.8)/0.5 = 0.2/0.5 = 0.4
P(1 < x < 2) = P(-1.6 < z < 0.4) = normalcdf(-1.6,0.4) = 0.6006
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b. Exceed 3 cm in length
z(3) = (3-1.8)/0.5 = 1.2/0.5 = 2.4
P(x> 3) = P(2.4 < z < 100) = 0.0082..
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Cheers,
Stan H.
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