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 310 grams and a standard deviation of 15 grams. Use the empirical rule to determine the following. (a) About 95% of organs will be between what weights? (b) What percentage of organs weighs between 265 grams and 355 grams? (c) What percentage of organs weighs less than 265 grams or more than 355 grams? (d) What percentage of organs weighs between 280 grams and 325 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.) Enter your answer in each of the answer boxes.

Explanation / Answer

a)for 95% values are with in 2 std deviation from mean

hence 280 and 340 gm

b)for these values are 3 std deviaiton away hence

99.7%

c)0.3%

d) 81.5%

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