The weight of an organ in adult males has a bell-shaped distribution with a mean

Question

The weight of an organ in adult males has a bell-shaped distribution with a mean of 330 grams and a standard deviation of 50 grams. Use the empirical rule to determine the following. (a) About 99.7% of organs will be between what weights? (b) What percentage of organs weighs between 230 grams and 430 grams? (c) What percentage of organs weighs less than 230 grams or more than 430 grams? (d) What percentage of organs weighs between 180 grams and 380 grams? (a) and grams (Use ascending order.) (b) % (Type an integer or a decimal.) (c) % (Type an integer or a decimal.) (d) % (Type an integer or decimal rounded to the nearest hundredth as needed.)

Explanation / Answer

Part-a

330-3*50 to 330+3*50

180 to 480

Part-b Due to 95% lies between 2 standard deviation answer is =95%

Part-c Due to 5% lies outside 2 standard deviation answeris=5%

Part-d

16% higher than 380 and (100-99.7)/2=0.15% lower than 180

Sobetween 180 and 380 =100-16-0.15=83.85%

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