Question: 5.44 Normal probabilities can be calculated using MINITAB. Let X have a normal distribution with mean 11.3 and standard deviation 5.7. The following steps yield

5.44 Normal probabilities can be calculated using MINITAB. Let X have a normal distribution with mean 11.3 and standard deviation 5.7. The following steps yield the cumulative probability of 9.31 or smaller, or P(X ≤ 9.31). Dialog box: Calc > Probability Distribution > Normal Choose Cumulative Distribution. Choose Input constant and enter 9.31. Type 11.3 in Mean and 5.7 in standard deviation. Click OK. Output: Normal with mean = 11.3000 and standard deviation = 5.70000 x P(X <= x) 9.3100 0.3635 For this same normal distribution, find the probability

(a) of 8.493 or smaller;

(b) of 16.074 or smaller.

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