Answered: The length of a Colorado brook trout is…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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The length of a Colorado brook trout is normally distributed.

(a) What is the probability that a brook trout's length exceeds the mean? (Round your answer to 2 decimal places.)

Probability______

(b) What is the probability that a brook trout's length exceeds the mean by at least 1 standard deviation? (Round your answer to 4 decimal places.)

Probability_______

(c) What is the probability that a brook trout's length exceeds the mean by at least 2 standard deviations? (Round your answer to 4 decimal places.)

Probability________

(d) What is the probability that a brook trout's length is within 2 standard deviations? (Round your answer to 4 decimal places.)

Probability_______

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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