APFIVE For a normally distributed variable with mean $$1500$$ and standard deviation $$75$$ hours, a TI-84 calculator can compute areas under the curve using the normalcdf function. Consider the following commands and their results:
A: normalcdf(0, 1410, 1500, 75) computes $$P(X < 1410) \approx 0.1151$$.
B: normalcdf(1410, 1500, 1500, 75) computes $$P(1410 \le X \le 1500) \approx 0.3849$$.
C: normalcdf(0, 1500, 1500, 75) computes $$P(X < 1500) = 0.5000$$.
D: normalcdf(1410, 1677, 1500, 75) computes $$P(1410 \le X \le 1677) \approx 0.8595$$.
Rank these outputs in order of increasing probability. Express your answer as an ordering of the command labels (for example, “A, B, C, D”).
A, C, B, D
A, B, C, D
D, B, A, C
B, A, D, C
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