1a) Which of the following properties distinguishes the standard normal distribution from other normal distributions?The mean is located at the center of the distribution.The total area under the curve is equal to 1.00.The curve is continuous.The mean is 0 and the standard deviation is 1.b) Find the probability P(z < -0.51) using the standard normal distribution. c) Find the probability P(z > -0.59) using the standard normal distribution. Please answer all part of the question, 1a to 1c. Thanks.

Standard Normal Distribution is symmetric continuous distribution with mean 0 and variance 1. The…

Answered: 1a) Which of the following properties…

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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1a) Which of the following properties distinguishes the standard normal distribution from other normal distributions?

The mean is located at the center of the distribution.

The total area under the curve is equal to 1.00.

The curve is continuous.

The mean is 0 and the standard deviation is 1.

b) Find the probability P(z < -0.51) using the standard normal distribution.

c) Find the probability P(z > -0.59) using the standard normal distribution.

Please answer all part of the question, 1a to 1c. Thanks.

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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