Let X denote the number of empty bins when 50 balls are thrown inde.pdf
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Let X denote the number of empty bins when 50 balls are thrown independently into 30 bins (randomly). What is the expectation of X? Solution Define Xi = 1 if the i-th bin is empty and 0 othewise. E[Xi] = 1*P(Xi = 1) = (1 - 1/30)^50 Therefore: E[X] = sum E[Xi] (0 <= i <= 30) = 30*(1 - 1/30)^50 which is approximately equal to 5.5.
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![Let X denote the number of empty bins when 50 balls are thrown independently into 30 bins
(randomly). What is the expectation of X?
Solution
Define Xi = 1 if the i-th bin is empty and 0 othewise.
E[Xi] = 1*P(Xi = 1) = (1 - 1/30)^50
Therefore:
E[X] = sum E[Xi] (0 <= i <= 30) = 30*(1 - 1/30)^50
which is approximately equal to 5.5](https://image.slidesharecdn.com/letxdenotethenumberofemptybinswhen50ballsarethrowninde-230324024400-e300582a/85/Let-X-denote-the-number-of-empty-bins-when-50-balls-are-thrown-inde-pdf-1-320.jpg)
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Solution
E(Y) = E(X1X2) = E(X1)E(X2) = m1m2 Var(Y) = E(X12X22) - m12m22 Cov(Y,
X1) = E(X12)E(X22) - m12m2.
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V(X) = ? = 3.5 P(X = 8) = P(x=0) + P(x=1) + P(x=2) + P(x=3) + P(x=4) + P(x=5)
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Transportation: Introduction to Transportation Engineering; Traffic and Road Safety: Types and Characteristics of Various Modes of Transportation; Various Road Traffic Signs, Causes of Accidents and Road Safety Measures.
Chapter 6
Environmental Engineering: Environmental Pollution, Environmental Acts and Regulations, Functional Concepts of Ecology, Basics of Species, Biodiversity, Ecosystem, Hydrological Cycle; Chemical Cycles: Carbon, Nitrogen & Phosphorus; Energy Flow in Ecosystems.
Water Pollution: Water Quality standards, Introduction to Treatment & Disposal of Waste Water. Reuse and Saving of Water, Rain Water Harvesting. Solid Waste Management: Classification of Solid Waste, Collection, Transportation and Disposal of Solid. Recycling of Solid Waste: Energy Recovery, Sanitary Landfill, On-Site Sanitation. Air & Noise Pollution: Primary and Secondary air pollutants, Harmful effects of Air Pollution, Control of Air Pollution. . Noise Pollution Harmful Effects of noise pollution, control of noise pollution, Global warming & Climate Change, Ozone depletion, Greenhouse effect
Text Books:
1. Palancharmy, Basic Civil Engineering, McGraw Hill publishers.
2. Satheesh Gopi, Basic Civil Engineering, Pearson Publishers.
3. Ketki Rangwala Dalal, Essentials of Civil Engineering, Charotar Publishing House.
4. BCP, Surveying volume 1
Walmart Business+ and Spark Good for Nonprofits.pdf
"Learn about all the ways Walmart supports nonprofit organizations.
You will hear from Liz Willett, the Head of Nonprofits, and hear about what Walmart is doing to help nonprofits, including Walmart Business and Spark Good. Walmart Business+ is a new offer for nonprofits that offers discounts and also streamlines nonprofits order and expense tracking, saving time and money.
The webinar may also give some examples on how nonprofits can best leverage Walmart Business+.
The event will cover the following::
Walmart Business + (https://business.walmart.com/plus) is a new shopping experience for nonprofits, schools, and local business customers that connects an exclusive online shopping experience to stores. Benefits include free delivery and shipping, a 'Spend Analytics” feature, special discounts, deals and tax-exempt shopping.
Special TechSoup offer for a free 180 days membership, and up to $150 in discounts on eligible orders.
Spark Good (walmart.com/sparkgood) is a charitable platform that enables nonprofits to receive donations directly from customers and associates.
Answers about how you can do more with Walmart!"
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हिंदी वर्णमाला पीपीटी, hindi alphabet PPT presentation, hindi varnamala PPT, Hindi Varnamala pdf, हिंदी स्वर, हिंदी व्यंजन, sikhiye hindi varnmala, dr. mulla adam ali, hindi language and literature, hindi alphabet with drawing, hindi alphabet pdf, hindi varnamala for childrens, hindi language, hindi varnamala practice for kids, https://www.drmullaadamali.com
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Let X denote the number of empty bins when 50 balls are thrown inde.pdf
- 1. Let X denote the number of empty bins when 50 balls are thrown independently into 30 bins (randomly). What is the expectation of X? Solution Define Xi = 1 if the i-th bin is empty and 0 othewise. E[Xi] = 1*P(Xi = 1) = (1 - 1/30)^50 Therefore: E[X] = sum E[Xi] (0 <= i <= 30) = 30*(1 - 1/30)^50 which is approximately equal to 5.5