The shelf life of a battery produced by one major company is known to be normally distributed, with a mean life of 3.5 years and a standard deviation of 1 years. Using the expanded empirical rule, what is the probability in decimal form that a randomly chosen battery will (a) last fewer than 2.5 years? Answer: (b) last between 1.5 and 5.5 years? Answer: (c) last more than 0.5 years? Answer:

The shelf life of a battery produced by one major company is known to be normally distributed, with a mean life of 3.5 years and a standard deviation of 1 years. Using the expanded empirical rule, what is the probability in decimal form that a randomly chosen battery will (a) last fewer than 2.5 years? Answer: (b) last between 1.5 and 5.5 years? Answer: (c) last more than 0.5 years? Answer:

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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Question

(a) last fewer than 2.5 years?

Answer:

(b) last between 1.5 and 5.5 years?

Answer:

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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