Assume the probability density function of two Random Variable X1 an.pdf
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Assume the probability density function of two Random Variable X1 and X2 is: Let Z1 = X1 + X2 and Z2 = X1 / (X1 + X2) a) What is the joint pdf for (Z1, Z2) b) What is the marginal pdf of Z2? What is the name of the distribution? c) Are Z1 and Z2 independent?fX1,X2(x1,x2)={exp{(x1+x2)},0,forx10,x20elsewhere.
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significant role in maintaining the ecological equilibrium of our planet.Land serves as the foundation for all human activities and provides the necessary materials for
these activities. As the most crucial natural resource, its utilization by humans results in different
'Land uses,' which are determined by both human activities and the physical characteristics of the
land.
The utilization of land is impacted by human needs and environmental factors. In countries
like India, rapid population growth and the emphasis on extensive resource exploitation can lead
to significant land degradation, adversely affecting the region's land cover.
Therefore, human intervention has significantly influenced land use patterns over many
centuries, evolving its structure over time and space. In the present era, these changes have
accelerated due to factors such as agriculture and urbanization. Information regarding land use and
cover is essential for various planning and management tasks related to the Earth's surface,
providing crucial environmental data for scientific, resource management, policy purposes, and
diverse human activities.
Accurate understanding of land use and cover is imperative for the development planning
of any area. Consequently, a wide range of professionals, including earth system scientists, land
and water managers, and urban planners, are interested in obtaining data on land use and cover
changes, conversion trends, and other related patterns. The spatial dimensions of land use and
cover support policymakers and scientists in making well-informed decisions, as alterations in
these patterns indicate shifts in economic and social conditions. Monitoring such changes with the
help of Advanced technologies like Remote Sensing and Geographic Information Systems is
crucial for coordinated efforts across different administrative levels. Advanced technologies like
Remote Sensing and Geographic Information Systems
9
Changes in vegetation cover refer to variations in the distribution, composition, and overall
structure of plant communities across different temporal and spatial scales. These changes can
occur natural.
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Chapter 2
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Chapter 3
Surveying: Object Principles & Types of Surveying; Site Plans, Plans & Maps; Scales & Unit of different Measurements.
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Assume the probability density function of two Random Variable X1 an.pdf
- 1. Assume the probability density function of two Random Variable X1 and X2 is: Let Z1 = X1 + X2 and Z2 = X1 / (X1 + X2) a) What is the joint pdf for (Z1, Z2) b) What is the marginal pdf of Z2? What is the name of the distribution? c) Are Z1 and Z2 independent?fX1,X2(x1,x2)={exp{(x1+x2)},0,forx10,x20elsewhere