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ÞÏíã 27-04-2014, 10:22 AM   #3

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ÞÏíã 27-04-2014, 12:06 PM   #4

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Q-5 An urn contains 10 marbles, each of which shows a number. Five marbles show 1,two marbles show 2 and three show 3.
A marble is drawn at random. If x is the number that shows find the followings:

The probability distribution and the cumulative distribution of the random variable x.
p(1≤x≤3),p(x<3) .
Find the mean of the random variable X.
Calculate the variance and standard deviation of the random variable X.



Q-6:The density function for a random variable X is given by

f(x)={(_0 , otherwise^(1/2 x, if 0≤x≤2)) ┤
Find the cumulative distribution function.
Find p(1/2<x<1)
Find p(x<1)
Find the mean of the random variable x.
Find the standard deviation of the random variable x.

 

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ÞÏíã 27-04-2014, 11:13 PM   #7

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ÚäÏí ÈÚÏ ËáÇËÉ ÃÓÆáÉ

A)In a 10- question examination, each question is worth 10 points and it is graded right or wrong, considering the individual questions, in how many ways can a student score 80 or better?
-------------
B) The director of research and development for a company has nine scientists who are equally qualified to work on projects A, B and C. In how many ways can the director assign three scientists to each project ?
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C) In how many ways can seven of ten books be arranged on a bookshelf? In how many ways can all ten books be arranged on the shelf

 

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ÞÏíã 28-04-2014, 01:13 AM   #8

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10p7 =604800

 

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