SOLUTION: The weights of a certain dog breed are approximately normally distributed with a mean of 48 pounds, and a standard deviation of 6.1 pounds. Use your graphing calculator to answer t

Algebra ->  Probability-and-statistics -> SOLUTION: The weights of a certain dog breed are approximately normally distributed with a mean of 48 pounds, and a standard deviation of 6.1 pounds. Use your graphing calculator to answer t      Log On


   

Question 1181392: The weights of a certain dog breed are approximately normally distributed with a mean of 48 pounds, and a standard deviation of 6.1 pounds. Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent.
a) Find the percentage of dogs of this breed that weigh less than 48 pounds.
_____%
b) Find the percentage of dogs of this breed that weigh less than 45 pounds.
_____%
c) Find the percentage of dogs of this breed that weigh more than 45 pounds.
_____%
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z=(x-mean)/sd
a.50% weigh fewer than 48 pounds. z=0
b. fewer than 45 pounds is z < (45-48)/6.1 or -0.49. That probability is 31.1% rounding at the end
c. more than 45 pounds is the complement or 68.9%.