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(i) In the village of 50 people 25 people have their fast on republic day. Two persons are selected at random out of them, write the probability distribution who are on fast. Also find the mean of the distribution. (ii) What do you mean by republic?
cbse
class12
modelpaper
2012
sec-c
q25
math
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asked
Jan 13, 2013
by
thanvigandhi_1
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Jan 13, 2013
by
thanvigandhi_1
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In a village of 50 people, 20 people have their fast on 2nd october. Two persons are selected at random out of them. Write the probability distribution for selected persond who are on fast. Also, find the mean of the distribution.
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There are $80$ workers in a publication house. Out of which $20$ are hardworking and honest. Three workers are selected at random out of them. Write the probability distribution for the selected workers who are hardworking and honest. Also find the mean of the distribution. Write the importance of hardworking and honesty in one’s life.
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Probability of solving a mathematical problem by A, B and C respectively are $\large\frac{1}{3}, \frac{1}{2}$$ \: and \: \frac{1}{4} $. If they try to solve the problem independently, find the probability that : (i) the problem is solved (ii) exactly one of them solve the problem (iii) exactly two of them solve the problem (iv) what do you think that problem solving attitude from books helpful in real life also?
cbse
class12
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2012
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Jan 16, 2013
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Let X denote the number of hours you study during a randomly selected school day. The probability that X can take the values X has the following form, where k is some unknown constant. \[ p(X=x) = \left\{ \begin{array}{l l}0.1, & \quad if{ x = 0}\\ kx, & \quad if{ x = 1 \: or\: 2} \\ k(5-x), & \quad if{ x = 3 \: or\: 5} \\ 0, & \quad \: otherwise \end{array}. \right. \] (i) Find the value of K (ii) What is the probability that you study atleast two hours? Exactly two hours? Atmost two hours?
cbse
class12
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2012
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Jan 30, 2013
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Given three identical boxes I, II and III each containing two coins. In box I, both coins are gold coins, in box II, both are silver coins and in box III, there is one gold and one silver coin. A person chooses a box at random and takes out a coin. If the coin is of gold, what is the probability that the other coin in the box is also of gold?
cbse
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2012
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Feb 4, 2013
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Three numbers are selected at random (with out replacement ) from first six positive integers. If X denotes the smallest of the three numbers obtained , find the probability distribution of X.Also find the mean and variance of the distribution .
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May 30, 2016
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