Question 265604
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.