Let x be a random variable that represents the weight of a lion in a certain region of Africa. Assume that x is normally distributed with a mean = 260 lbs . With standard deviation =30 lb Please include the graphs for questions A and B a) What is the probability that a randomly selected lion from that region will weigh more than300 libs?b) Suppose that 36 lions are randomly selected and weighed; what is the probability that themean x of the lions is less than 245 libs?ajhen dielike thmother

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Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter0: Preparing For Algebra

Section: Chapter Questions

Problem 56PRT

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Let x be a random variable that represents the weight of a lion in a certain region of Africa. Assume that x is normally distributed with a mean = 260 lbs . With standard deviation =30 lb

Please include the graphs for questions A and B

a) What is the probability that a randomly selected lion from that region will weigh more than
300 libs?
b) Suppose that 36 lions are randomly selected and weighed; what is the probability that the
mean x of the lions is less than 245 libs?
aj
hen dielike thmother

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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