The IQs of individuals admitted to a state school for the mentally retarded are approximately normally distributed with a mean of 60 and a standard deviation of 10.(a) Find the proportion of individuals with IQs greater than 75.(b) What is the probability that an individual picked at random will have an IQ between 55 and 75? (c) Find Pð50 X 70Þ:

We have given that, Let X be random variable from Normal distribution with mean (μ) = 60 and…

Answered: The IQs of individuals admitted to a…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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The IQs of individuals admitted to a state school for the mentally retarded are approximately normally distributed with a mean of 60 and a standard deviation of 10.

(a) Find the proportion of individuals with IQs greater than 75.
(b) What is the probability that an individual picked at random will have an IQ between 55 and 75? (c) Find Pð50 X 70Þ:

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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