the graph shows the distribution of weights (in pounds) of male duck - billed platypuses. the distribution…

the graph shows the distribution of weights (in pounds) of male duck - billed platypuses. the distribution is approximately normal, with a mean of 3.75 pounds and a standard deviation of 0.52 pounds. what percent of male duck - billed platypuses have a weight of between 2.71 and 4.79 pounds? 34% 68% 95% 99.7% male duck - billed platypuses 1.67 2.19 2.71 3.23 3.75 4.27 4.79 5.31 5.83 weight (pounds)

the graph shows the distribution of weights (in pounds) of male duck - billed platypuses. the distribution is approximately normal, with a mean of 3.75 pounds and a standard deviation of 0.52 pounds. what percent of male duck - billed platypuses have a weight of between 2.71 and 4.79 pounds? 34% 68% 95% 99.7% male duck - billed platypuses 1.67 2.19 2.71 3.23 3.75 4.27 4.79 5.31 5.83 weight (pounds)

Answer

Answer:

C. 95%

Explanation:

Step1: Calculate z - scores

For (x_1 = 2.71), (z_1=\frac{2.71 - 3.75}{0.52}=\frac{- 1.04}{0.52}=- 2) For (x_2 = 4.79), (z_2=\frac{4.79 - 3.75}{0.52}=\frac{1.04}{0.52}=2)

Step2: Use the empirical rule

In a normal distribution, about 95% of the data lies within (z=-2) and (z = 2) standard - deviations of the mean. So the percentage of male duck - billed platypuses with a weight between 2.71 and 4.79 pounds is 95%.