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AP Statistics/Unit 5: Sampling Distributions
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Ordering Normal Distribution Probabilities

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A random variable XX is normally distributed with a mean of 15001500 and a standard deviation of 7575. The following TI-84 calculator commands and their resulting probabilities are given:

A. normalcdf(0, 1410, 1500, 75) computes P(X<1410)≈0.1151P(X < 1410) \approx 0.1151
B. normalcdf(1410, 1500, 1500, 75) computes P(1410≤X≤1500)≈0.3849P(1410 \le X \le 1500) \approx 0.3849
C. normalcdf(0, 1500, 1500, 75) computes P(X<1500)=0.5000P(X < 1500) = 0.5000
D. normalcdf(1410, 1677, 1500, 75) computes P(1410≤X≤1677)≈0.8595P(1410 \le X \le 1677) \approx 0.8595

Which of the following correctly orders the commands from the least to the greatest resulting probability?

A

D, B, A, C

B

A, B, C, D

C

A, C, B, D

D

B, A, D, C

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