A study Complete parts a through e below a. What is the probability that an Amer
ID: 2934284 • Letter: A
Question
A study Complete parts a through e below a. What is the probability that an American will consume less than 7 pounds of chocolate next year? (Round to four doirnal places as needed.) b. What is the probability that an American will consume more than 9 pounds of chocolate next year? (Round to four decimal places as needed.) c.What is te probability that an American will consume between 8 and 12pounds of chocolate (Round to four decimal places as needed.) d. What is the probability that an American will consume exacty 10 pounds of chocolate next year? year? (Round to four decimal places as needed) o. What is the annual consumption of choooliate that represents the 60th percentle? The 60th percentle is represented by an annual corurpion ofpounds of chociate. Type an integer or decimal rounded to one decimal place as needed.)Explanation / Answer
mean=11.1
sd=3.8
sola:
P(x<7)
z=x-mean/sd
=7-11.1/3.8
=-1.08
P(z<-1.08)
=1-P(z<1.08)
=1-0.8599
=0.1401
ANSWER :0.1401
Solb:
P(X>9)
Z=9-11.1/3.8
-2.1/3.8
=-0.55
P(Z>-0.55)
=P(Z<0.55)
=0.7088
ANSWER:0.7088
Solution:
between 8 and 12
P(8<X<12)
P(8-11.1/3.8<Z<12-11.1/3.8)
=P(-0.82<z<0.24)
=P(z<0.24)-P(Z<-0.82)
=0.5948-{1-0.7939}
=0.3887
Solutiond:
P(X<10)
z=x-mean/sd
=10-11.1/3.8
=-1.1/3.8
=-0.29
P(Z=-0.29)
=1-P(Z<0.29)
=1-0.6141
=0.3859
ANSWER:0.3859
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