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The distributions and weights of squirrels is approximately normal with a mean of 3 pounds and standard deviation of 1.3 pounds use the empirical rule to answer Parts A through D now just real quick remember that the empirical rule we have the mean in the middle, and then it deals with a certain percentages in between, so you have your mean you have your mean plus one standard deviation this way and your mean — a negation this way and there are 34% right then you go out thirteen and a half percent two point three five percent and point one five in the tails, so hopefully you have that in your head if you don't you might want to go back to your notes sketch it out and then come back to this problem now in Part A we're talking about squirrels right three pounds well we know that the mean is three pounds four point three pounds well if we have three pounds in our standard deviation is one point three plus one point three is four point three, so that means one standard deviation away is four point three just for fun if you'd go another one it'd be five point six you go this direction you're at one point seven you're at point four so thinking about the empirical rule right we know that there are 34 in these pieces there are thirteen point five, and I'm not going to go any further out because I don't need to our problem asks between three and four point three that means we are talking about this area here shaded in orange because we know that area we have it right here our answer is approximately 34% of squirrels weigh between three and four point three pounds Part B what percent of squirrels weight less than four point three pounds well let's again kind of work on our empirical rule here we know we have three in the middle if I add one point three to go to the right I am at four point three the question says less than four point three we're talking about all of this and that's kind of a bad shade job, so we have to stay under the curve now the mean cuts this in half, so we know that this half whole half all of it that I have is 50% Reich's it's half of the curve and based off the empirical rule from the mean to one standard deviation to the right is 34% so if I want all of that shaded in orange I've got 1/2 plus the extra 34 we're talking approximately 84% of squirrels weigh less than four point three pounds what percent of squirrels weighed more than three pounds well again let's get our curve going I've got some good curves today and the mean in the middle is three well I'm just going to stop there because it says more than three pounds well more than three is all of this right shaded all the way down into the tail, and we know that the mean splits this exactly in half so this half is 50% of squirrels will weigh more than three pounds and last but not least what percent of squirrels weigh more than 5.6 pounds will 5.6 is one we haven't gotten to yet so let's go ahead and get a curve going we've got the mean in the middle and now as I know 5.6 is...
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