solve the problem in the photo using normal distribution laws 6. A random variable X is normally distributed with a mean u. In the following diagram, the shaded regionbetween 9 and μ represents 30% of the distribution. The standard deviation of X is 2.1.a. Find P(X < 9)9μl969757 12

Normal distributionThe normal distribution is the probability distribution for continuous data, and…

6. A random variable X is normally distributed with a mean μ. In the following diagram, the shaded region between 9 and represents 30% of the distribution. The standard deviation of X is 2.1. a. Find P(X < 9) 9 μ1

6. A random variable X is normally distributed with a mean μ. In the following diagram, the shaded region between 9 and represents 30% of the distribution. The standard deviation of X is 2.1. a. Find P(X < 9) 9 μ1

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

solve the problem in the photo using normal distribution laws

6. A random variable X is normally distributed with a mean u. In the following diagram, the shaded region
between 9 and μ represents 30% of the distribution. The standard deviation of X is 2.1.
a. Find P(X < 9)
9
μl
969757 12

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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