Thank you in Advance for quick response.Best, **Question 3**The length of a jail sentence issued by a judge for similar crimes is a continuous random variable, $ X $, with density function $ f(X) = \frac{1}{9}x^2 $, where $ 0 < X < 3 $ years. What is the probability that a sentence issued by this judge will be at least 1 year?- A. $ \frac{28}{27} $- B. $ \frac{1}{3} $- C. $ \frac{27}{28} $- D. $ \frac{27}{26} $- E. $ \frac{26}{27} $**Question 4**The length of a jail sentence issued by a judge for similar crimes is a continuous random variable, $ X $, with density function $ f(X) = \frac{1}{9}x^2 $, where $ 0 < X < 3 $ years. What is the expected length of this judge's sentence?- A. $ \frac{81}{36} $ years- B. $ \frac{1}{9} $ years- C. 1 year- D. $ \frac{9}{6} $ years- E. $ \frac{3}{2} $ years

Name: Thank you in Advance for quick response.Best, **Question 3**The length
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Description: Thank you in Advance for quick response.Best, **Question 3**The length of a jail sentence issued by a judge for similar crimes is a continuous random variable, $ X $, with density function $ f(X) = \frac{1}{9}x^2 $, where $ 0 < X < 3 $ years. W

In this case the random variable X defines the length of a jail sentence issued by a judge for similar crimes.The density function is, f(x) = x2/9, for 0 < x < 3. The probability that a sentence issued by the judge will be at last 1 year is, Correct option is E. The expected length of the judge’s sentence is, Correct option is A.

Answered: QUESTION 3 The length of a jail…

Math

Statistics

QUESTION 3 The length of a jail sentence issued by a judge for similar crimes, is a continuous random variable, X, Ix2,0

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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Concept explainers

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.

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Thank you in Advance for quick response.

Best,

**Question 3**

The length of a jail sentence issued by a judge for similar crimes is a continuous random variable, $ X $, with density function $ f(X) = \frac{1}{9}x^2 $, where $ 0 < X < 3 $ years. What is the probability that a sentence issued by this judge will be at least 1 year?

- A. $ \frac{28}{27} $
- B. $ \frac{1}{3} $
- C. $ \frac{27}{28} $
- D. $ \frac{27}{26} $
- E. $ \frac{26}{27} $

**Question 4**

The length of a jail sentence issued by a judge for similar crimes is a continuous random variable, $ X $, with density function $ f(X) = \frac{1}{9}x^2 $, where $ 0 < X < 3 $ years. What is the expected length of this judge's sentence?

- A. $ \frac{81}{36} $ years
- B. $ \frac{1}{9} $ years
- C. 1 year
- D. $ \frac{9}{6} $ years
- E. $ \frac{3}{2} $ years

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