he graph of a normally distributed random variable is given. Use the graph to answer the questions that follow. (Each notch is indicated by the number near it.) 35384144475053What is the mean?44What is the standard deviation?What percentage of values should fall between 44 and 47?Which value has a z-score of -2?

Given normal distribution graph is

Answered: 35 38 41 44 47 50 53 What is the mean?…

Math

Probability

35 38 41 44 47 50 53 What is the mean? 44 What is the standard deviation?

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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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

he graph of a normally distributed random variable is given. Use the graph to answer the questions that follow. (Each notch is indicated by the number near it.)

35
38
41
44
47
50
53
What is the mean?
44
What is the standard deviation?
What percentage of values should fall between 44 and 47?
Which value has a z-score of -2?

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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