Round answers to 3 decimal points

The weight of a male bald eagle has approximately a normal distribution with mean = 7.4 pounds and a standard deviation of o= 1.2 pounds. Suppose we take a random sample of n=81 male bald eagles. Let X be the random variable representing the mean weight in pounds of the 81 sampled male bald eagles. Let Xtot be the random variable representing sum of the weights of the 81 sampled bald eagles. a) About what proportion of male bald eagles have weights between 7.0 and 7.8 pounds? 4 b) About what proportion of male bald eagles have weights greater than 7.8 pounds? c) About how many of the 81 sampled male bald eagles would you expect to have weight greater than 7.8 pounds? (nearest integer)? d) About how many of the 81 sampled male bald eagles would you expect to have weight between 7.0 and 7.8 pounds? (nearest integer)? e) What is the standard deviation of the distribution of X (in pounds)? f) What is the standard deviation of the distribution of Xtot (in pounds)? g) What is the probability that 7.38 600 pounds? f) Copy your R script for the above into the text box here