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. For this question, use the 68-95-99.7 rule. A researcher has a colony of bongo spiders in his lab. There are 1200 adult spiders in the colony, and their weights are normally distributed with a mean of 11 grams and a standard deviation of 2 grams. (a) Sketch a normal curve and label the axis using the mean and standard deviation. Be sure to label one, two, and three standard deviations on either side of the mean. (b) Using the 68-95-9917 rule, about what percent of spiders in the colony weigh between 7 grams and 13 grams? (c) Using the 68-95-99.7 rule, about what percent of spiders in the colony weigh less than 9 grams?

. For this question, use the 68-95-99.7 rule. A researcher has a colony of bongo spiders in his lab. There are 1200 adult spiders in the colony, and their weights are normally distributed with a mean of 11 grams and a standard deviation of 2 grams. (a) Sketch a normal curve and label the axis using the mean and standard deviation. Be sure to label one, two, and three standard deviations on either side of the mean. (b) Using the 68-95-9917 rule, about what percent of spiders in the colony weigh between 7 grams and 13 grams? (c) Using the 68-95-99.7 rule, about what percent of spiders in the colony weigh less than 9 grams?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question number 7
(e) What is the probability that the proportion of pepperoni pizza orders is greater than 0.30? 7. For this question, use the 68-95-99.7 rule. A researcher has a colony of bongo spiders in his lab. There are 1200 adult spiders in the colony, and their weights are normally distributed with a mean of 11 grams and a standard deviation of 2 grams. (a) Sketch a normal curve and label the axis using the mean and standard deviation. Be sure to label one, two, and three standard deviations on either side of the mean. (b) Using the 68-95-9917 rule, about what percent of spiders in the colony weigh between 7 grams and 13 grams? (c) Using the 68-95-99.7 rule, about what percent of spiders in the colony weigh less than 9 grams? (d) Approximately 68% of all the spider weights would occur between what two weight values? (e) What is the z-score of a spider in this colony that weighs 15 grams? (1) What percent of spiders in the colony weigh more than 15 grams? 8 Using Table A and the given Z scores, find the following probabilities: (a) P(Z < 1.46) (b) The probability that Z is between -0.50 and 1.79 9 A manutacturing company has designed a new test of mechanical aptitude for its machinists. Seores on this test can be approximated with a Normal distribution with p-400 and a 60. What score would a machinist need in order to be in the top 10% of all machinists who would take this test?
Transcribed Image Text:(e) What is the probability that the proportion of pepperoni pizza orders is greater than 0.30? 7. For this question, use the 68-95-99.7 rule. A researcher has a colony of bongo spiders in his lab. There are 1200 adult spiders in the colony, and their weights are normally distributed with a mean of 11 grams and a standard deviation of 2 grams. (a) Sketch a normal curve and label the axis using the mean and standard deviation. Be sure to label one, two, and three standard deviations on either side of the mean. (b) Using the 68-95-9917 rule, about what percent of spiders in the colony weigh between 7 grams and 13 grams? (c) Using the 68-95-99.7 rule, about what percent of spiders in the colony weigh less than 9 grams? (d) Approximately 68% of all the spider weights would occur between what two weight values? (e) What is the z-score of a spider in this colony that weighs 15 grams? (1) What percent of spiders in the colony weigh more than 15 grams? 8 Using Table A and the given Z scores, find the following probabilities: (a) P(Z < 1.46) (b) The probability that Z is between -0.50 and 1.79 9 A manutacturing company has designed a new test of mechanical aptitude for its machinists. Seores on this test can be approximated with a Normal distribution with p-400 and a 60. What score would a machinist need in order to be in the top 10% of all machinists who would take this test?
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