THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION

question 197

Essay

THE NEXT QUESTIONS ARE BASED ON THE FOLLOWING INFORMATION:
A continuous random variable X has the probability density function: f(x)= 2e^-2x,x ≥ 0.
-What is the distribution of the random variable X?

Distinguish between continuous and discrete random variables.

Grasp the relationship between standard deviation values and the shape of a normal curve.

Understand the key figures and inventions that marked the late 19th century and their significance in the socio-economic context.

Recognize the emergence and impact of big businesses and monopolies, including the legislative response through acts like the Sherman Antitrust Act.

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Definitions:

Female Poverty Rate

The percentage of females living below the poverty line in a given region.

Male Poverty Rate

The proportion of the male population living below the poverty line, measured by the income level considered necessary for basic living standards in a given country or area.

Disparity

The existence of inequalities or differences between groups, regions, or countries, often in terms of economic, social, or health outcomes.

Transitory Income

Income that is temporary or not expected to continue at the same level in future periods, such as one-time bonuses or inheritances.