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o Take a les-Robert Secure https//www.mattudoorn/Student/playerTestaspx?testId-178335302¢eninayes; Spring 2018 Math 227 Yun Robert Aamik 2/28/18 10: Quiz: Chapter 3 Quiz Subm This Question: 4 pts 5 of 13 This Quiz: 35 pts p Question Hep The weight of an organ in adult males has a bell-shaped distribution with a mean of 350 grams and a standard devilation of 30 grams Use the empirical rule to delermine the following (a) About 95% of organs wil be between what weights? (b) What percentage of organs weighs between 260 grams and 440 grams? (c) What percentage of organs weighs less than 260 grams or more than 440 grams? (d) What percentage of organs weighs between 290 grams and 380 grames? (a) 320 and 380 grams (Use ascending order.) Type an integer or a decimal) (c)»% (Type an integer or addi al) (d)Tr(Type an iteger or decinal rounded to two decimal places as needed) MyLa Al951gExplanation / Answer
Solution:
mean=350
sd=30
about 95% of values lies within 2 sd from mean
mean-2(sd) and mean+2sd
350-2*30 and 350+2*30
290 and 410
SOlutionA:
290 and 410
Solutionb:
P(260<X<440)
P(260-350/30<Z<440-350/30)
P(-90/30<Z<90/30)
P(-3<Z<3)
pnorm(3)-pnorm(-3)
0.9973002
answer:99.7%
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