The weight of a male bald eagle has approximately a normal distribution with mean 𝜇= 7.4 pounds and a standard deviation

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The weight of a male bald eagle has approximately a normaldistribution with mean 𝜇= 7.4 pounds and a standard deviationof 𝜎= 1.2 pounds. Suppose we take a random sample of n=81 malebald eagles. Let X be the random variable representingthe mean weight in pounds of the 81 sampled male bald eagles. LetXtot be the random variable representing sum of the weights of the81 sampled bald eagles.a) About what proportion of male bald eagles have weights between7.0 and 7.8 pounds? b) About what proportion of male bald eagles have weights greaterthan 7.8 pounds? c) About how many of the 81 sampled male bald eagles would youexpect to have weight greater than 7.8 pounds? (nearestinteger)? d) About how many of the 81 sampled male bald eagles would youexpect to have weight between 7.0 and 7.8 pounds? (nearestinteger)? e) What is the standard deviation of the distributionof X (in pounds)? f) What is the standard deviation of the distribution of Xtot (inpounds)? g) What is the probability that 7.38 < X < 7.42pounds ? h) What is the probability that Xtot >600 pounds? f) Copy your R script for the above into the text box here