I need a,b,c,d and can you please circle the answers please and thank you The we

Question

I need a,b,c,d and can you please circle the answers please and thank you

The weight of an organ in adult males has a bell-shaped distribution with a mean of 320 grams and a standard deviation of 45 grams. Use the empirical rule to determine the following. (a) About 68% of organs will be between what weights? (b) What (c) What percentage of organs weighs less than 185 grams or more than 455 grams? (d) What percentage of organs weighs between 185 grams and 410 grams? percentage of organs weighs between 185 grams and 455 grams?

Explanation / Answer

a)

as from empirical rule 68% ; 95% and 99.7 % values are 1,2,3 std deviation away from mean

hence 68% values are between =mean -/+ std deviaiton=320 -/+ 45 =275 and 365

b)z score =(X-mean)/std deviaiton

here P(185<X<455)=P((185-320)/45<Z<(455-320)/45)=P(-3 <Z<3) =99.7%

c)

P(X<185)+P(X>455)=100-P(185<X<455) =100-99.7 =0.3%

d)

P(185<X<410)=P((185-320)/45<Z<(410-320)/45)=P(-3 <Z<2)  =97.5%-0.15% =97.35%

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.