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Preliminary Course in Quantitative Methods -...

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gtriant2003

Lugha ya kimaumbile: Kiingereza

Preliminary Course in Quantitative
Methods - Lectures III-IV
September 2008
1 Discrete Random Variables
1.1 RANDOM VARIABLE
A random variable associates a numerical value with each outcome of an exper-
iment. A random variable is deÂ…ned mathematically as a real-valued function
deÂ…ned on a sample space, and is represented as a letter such as X or Y.
EXAMPLE: For the experiment of Â‡ipping a coin twice, the random variable X
is deÂ…ned to be the number of tails to appear

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Tafsiri Kigiriki Ilitafsiriwa na gigi1	Lugha inayolengwa: Kigiriki Î‘ÏÏ‡Î¹ÎºÎ¬ Î¼Î±Î¸Î®Î¼Î±Ï„Î± ÏƒÎµ Ï€Î¿ÏƒÎ¿Ï„Î¹ÎºÎÏ‚ Î¼ÎµÎ¸ÏŒÎ´Î¿Ï…Ï‚ - Î Î±ÏÎ±Î´ÏŒÏƒÎµÎ¹Ï‚ 3-4 Î£ÎµÏ€Ï„ÎÎ¼Î²ÏÎ¹Î¿Ï‚ 2008 1. Î”Î¹Î±ÎºÏÎ¹Ï„ÎÏ‚ Ï„Ï…Ï‡Î±Î¯ÎµÏ‚ Î¼ÎµÏ„Î±Î²Î»Î·Ï„ÎÏ‚ 1.1 Î¤Ï…Ï‡Î±Î¯ÎµÏ‚ Î¼ÎµÏ„Î±Î²Î»Î·Ï„ÎÏ‚ ÎœÎ¹Î± Ï„Ï…Ï‡Î±Î¯Î± Î¼ÎµÏ„Î±Î²Î»Î·Ï„Î® ÏƒÏ…Î½Î´ÎÎµÎ¹ Î¼Î¹Î± Î±ÏÎ¹Î¸Î¼Î·Ï„Î¹ÎºÎ® Ï„Î¹Î¼Î® Î¼Îµ ÎºÎ¬Î¸Îµ ÎÎºÎ²Î±ÏƒÎ· ÎµÎ½ÏŒÏ‚ Ï€ÎµÎ¹ÏÎ¬Î¼Î±Ï„Î¿Ï‚. ÎœÎ¹Î± Ï„Ï…Ï‡Î±Î¯Î± Î¼ÎµÏ„Î±Î²Î»Î·Ï„Î® Î¸ÎµÏ‰ÏÎµÎ¯Ï„Î±Î¹ Î±Ï€ÏŒ Ï„Î¿Î½ ÎºÎ»Î¬Î´Î¿ Ï„Ï‰Î½ Î¼Î±Î¸Î·Î¼Î±Ï„Î¹ÎºÏŽÎ½ Ï‰Ï‚ Î¼Î¹Î± ÏƒÏ…Î½Î¬ÏÏ„Î·ÏƒÎ· Ï€ÏÎ±Î³Î¼Î±Ï„Î¹ÎºÏŽÎ½ Ï„Î¹Î¼ÏŽÎ½ ÏƒÎµ ÎÎ½Î± Ï‡ÏŽÏÎ¿ Î´ÎµÎ¹Î³Î¼Î¬Ï„Ï‰Î½, ÎºÎ±Î¹ Ï€ÏÎ¿ÏƒÎ´Î¯Î´Î¿Ï…Î¼Îµ ÏƒÎµ Î±Ï…Ï„Î® Î³ÏÎ¬Î¼Î¼Î±Ï„Î± ÏŒÏ€Ï‰Ï‚ Ï„Î¿ Î§ Î® Ï„Î¿ Î¥. Î Î±ÏÎ¬Î´ÎµÎ¹Î³Î¼Î±: Î“Î¹Î± Ï„Î¿ Ï€ÎµÎ¯ÏÎ±Î¼Î± ÏÎ¯ÏˆÎ·Ï‚ ÎµÎ½ÏŒÏ‚ Î½Î¿Î¼Î¯ÏƒÎ¼Î±Ï„Î¿Ï‚ Î´Ï…Î¿ Ï†Î¿ÏÎÏ‚, Î· Ï„Ï…Ï‡Î±Î¯Î± Î¼ÎµÏ„Î±Î²Î»Î·Ï„Î® Î§ Î¸Î± ÎµÎ¯Î½Î±Î¹ Î¿ Î±ÏÎ¹Î¸Î¼ÏŒÏ‚ ÎµÎ¼Ï†Î¬Î½Î¹ÏƒÎ·Ï‚ Ï„Ï‰Î½ Î³ÏÎ±Î¼Î¼Î¬Ï„Ï‰Î½.
Maelezo kwa mfasiri

Ilisahihishwa au kuhaririwa mwisho na irini - 28 Septemba 2008 05:47

Ujumbe wa hivi karibuni

	Mwandishi	Ujumbe
		27 Septemba 2008 12:23
	irini Idadi ya ujumbe: 849	OK, so "ipping" is, I's sure, "flipping". What about "dened" though? Any ideas? CC: IanMegill2 kafetzou
		27 Septemba 2008 21:56
	kafetzou Idadi ya ujumbe: 7963	"deemed" (= considered), and "tails" means the back of the coin (not the face).
		27 Septemba 2008 22:45
	gigi1 Idadi ya ujumbe: 116	Changed it with the corrections needed,and a question the back of the coin is Î³ÏÎ±Î¼Î¼Î±Ï„Î±. I don't understand the face thing kafetzou you're saying.
		27 Septemba 2008 22:54
	kafetzou Idadi ya ujumbe: 7963	Aha - I didn't know if that was the right word in Greek. The face is the other side (sometimes called "heads" ).
		27 Septemba 2008 22:58
	gigi1 Idadi ya ujumbe: 116	ÎºÎ¿ÏÏŒÎ½Î± -->korona (heads, practically crown in Greek) Î³ÏÎ¬Î¼Î¼Î±Ï„Î± -->grammata(tails, practically letters in Greek)
		27 Septemba 2008 23:05
	kafetzou Idadi ya ujumbe: 7963	Ah - thanks!
		28 Septemba 2008 05:47
	irini Idadi ya ujumbe: 849	Thanks kafetzou mou!
		28 Septemba 2008 08:05
	IanMegill2 Idadi ya ujumbe: 1671	Hmm... I would have guessed that, in this type of "scientific" paper, "de..ned" would be "defined"...? (We could say "defined as," but not "deemed as," and it's "de...ned," not "de...med"?)