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In: Statistics and Probability

9. Let X ~ N(194; 24). Find: (a) P(X <= 218) (b) P(145 < X <...

9. Let X ~ N(194; 24). Find:

(a) P(X <= 218)

(b) P(145 < X < 213)

(c) The first quartile for X

(d) The third quartile for X

(e) the IQR for X

(f) P(|X-194|> 41)

10. A soft drink machine discharges an average of 345 ml per cup. The amount of drink is normally distributed with standard deviation of 30 ml. What fraction of cups will contain more than 376 ml? (Keep 4 decimals)

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