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The distribution of weights of male Adelie penguins on Torgersen Island is assumed to be normal with a population mean weight of 4035 grams and a population standard deviation of 375 grams. Q7.1 The bottom 1 percent of the weight distribution of male penguins are identified as chicks. 1. What is the most that a male penguin can weigh to be considered a chick? 2. Given that a male penguin is a chick, what is the probability that it weighs less than 3000 grams?

The distribution of weights of male Adelie penguins on Torgersen Island is assumed to be normal with a population mean weight of 4035 grams and a population standard deviation of 375 grams. Q7.1 The bottom 1 percent of the weight distribution of male penguins are identified as chicks. 1. What is the most that a male penguin can weigh to be considered a chick? 2. Given that a male penguin is a chick, what is the probability that it weighs less than 3000 grams?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Answer question 7.1

The distribution of weights of male Adelie penguins on Torgersen Island is assumed to be normal with a population mean weight of 4035 grams and a population standard deviation of 375 grams. Q7.1 The bottom 1 percent of the weight distribution of male penguins are identified as chicks. 1. What is the most that a male penguin can weigh to be considered a chick? 2. Given that a male penguin is a chick, what is the probability that it weighs less than 3000 grams? Provide your answers to these two questions with either a file upload OR in the following text box, clearly labeling each of the two parts. Remember: for questions that involve calculations or derivations, you must show the setup of the problem (your thought process in terms of the statistical content). Your solutions must include the following, when appropriate: Z-Score • units formulas.
Transcribed Image Text:The distribution of weights of male Adelie penguins on Torgersen Island is assumed to be normal with a population mean weight of 4035 grams and a population standard deviation of 375 grams. Q7.1 The bottom 1 percent of the weight distribution of male penguins are identified as chicks. 1. What is the most that a male penguin can weigh to be considered a chick? 2. Given that a male penguin is a chick, what is the probability that it weighs less than 3000 grams? Provide your answers to these two questions with either a file upload OR in the following text box, clearly labeling each of the two parts. Remember: for questions that involve calculations or derivations, you must show the setup of the problem (your thought process in terms of the statistical content). Your solutions must include the following, when appropriate: Z-Score • units formulas.
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