An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is the following. Find the following.(a) E[Y ](b) V[Y] The image displays a table representing a probability distribution as follows:- The first row indicates the values of the random variable \( y \), which are: 1, 2, 4, 8, and 16.- The second row lists the corresponding probabilities \( p(y) \) for each value of \( y \): - \( p(y=1) = 0.05 \) - \( p(y=2) = 0.10 \) - \( p(y=4) = 0.35 \) - \( p(y=8) = 0.40 \) - \( p(y=16) = 0.10 \)The table illustrates how the probability is distributed across different values of a random variable. Each probability value represents the likelihood of the corresponding value of \( y \) occurring.

Answered: Image /qna-images/answer/b1e86852-a324-4240-88c6-2a03ee91ceb8.jpg

Answered: y 1 2 4 8 16 p(y) 0.05 0.10 0.35 0.40…

Math

Statistics

y 1 2 4 8 16 p(y) 0.05 0.10 0.35 0.40 0.10

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the last 3 years. The pmf of Y is the following. Find the following.

(a) E[Y ]

(b) V[Y]

The image displays a table representing a probability distribution as follows:

- The first row indicates the values of the random variable \( y \), which are: 1, 2, 4, 8, and 16.
- The second row lists the corresponding probabilities \( p(y) \) for each value of \( y \):
- \( p(y=1) = 0.05 \)
- \( p(y=2) = 0.10 \)
- \( p(y=4) = 0.35 \)
- \( p(y=8) = 0.40 \)
- \( p(y=16) = 0.10 \)

The table illustrates how the probability is distributed across different values of a random variable. Each probability value represents the likelihood of the corresponding value of \( y \) occurring.

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