1. The following table shows how a sample of 100 students are distributed in terms of hair and eye color (natural color, not dyed or tinted).Light Hair2515Light EyesDark EyesDark Hair1050Your friend says, "Hair color and eye color are independent. Just because you have dark hair doesn't automatically mean you have dark eyes." Your friend is wrong, they are not independent. Help explain it to them.2. Suppose that you are working at an insurance company that uses probability models to help price its life insurance policies. One piece of information that goes into the pricing model is whether or not the person usestobacco. If the company knows the person uses tobacco, then they charge a higher amount for the life insurance policy, based on the claim that using tobacco and cancer are not independent events. What does thecompany mean? Do they mean that a person who uses tobacco is bound to get cancer? Why does the company charge a higher premium for these customers? Try answer using some of the terminology about probabilitiesthat we have been using in class.

Since you have asked multiple questions, we will solve first three subparts for you. To get…

Answered: 1. The following table shows how a…

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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