Answered: Recall IQ s are normally distributed…

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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Kindly help to explain all steps. Part C is very important to me. I want to understand the steps. Thank you very much!

Recall IQ s are normally distributed such that the mean is 100 and the standard deviation is 15. If a simple random sample of n = 15 is chosen answer the following questions using the standard normal table. Round your calculated Z values to 2 decimal places and provide the the probabilities as a 5 place decimal.

a) What is the probability that the average IQ would be less than 90?

b) What is the probability that the avearge IQ would be more than 115?

c) What is the probability that the average IQ would be between 90 and 115? Answer to 5 decimal places.

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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