[STATISTICS - SAMPLE MEAN, VARIANCE, AND NORMAL DISTRIBUTION] MULTIPLE CHOICEWhich option is correct? I will upvote the solution if given within an hour. Thanks! Let X be the average of four independent random variables from the standard normal distribution. IfP(|X| < k) = 0.5. What is k ?Note: Please round your answer to 4 decimal places.O 0.32720.3072O 0.3172O 0.3372

The mean of standard normal distribution is 0 and the standard deviation is 1.

Answered: Let X be the average of four…

Let X be the average of four independent random variables from the standard normal distribution. If P(|X|< k) = 0.5. What is k ?

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

[STATISTICS - SAMPLE MEAN, VARIANCE, AND NORMAL DISTRIBUTION]

MULTIPLE CHOICE

Which option is correct? I will upvote the solution if given within an hour. Thanks!

Let X be the average of four independent random variables from the standard normal distribution. If
P(|X| < k) = 0.5. What is k ?
Note: Please round your answer to 4 decimal places.
O 0.3272
0.3072
O 0.3172
O 0.3372

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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