Recent questions tagged exemplar

Coefficient of variation $= \large\frac{----------}{mean} $$\times 100 $

asked Jul 9, 2014 by meena.p

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If the probabilities for A to fail in an examination is 0.2 and that for B is 0.3.Then the probability that either A or B fails is

asked Jul 9, 2014 by sreemathi.v

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A single letter is selected at random from the word PROBABILITY .The probability that it is a vowel is

asked Jul 9, 2014 by sreemathi.v

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The standard deviation of some temperature data in $^{\circ} C$ is 5. If the data were converted into $^{\circ} F$ the variance would be

asked Jul 9, 2014 by meena.p

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6 boys and 6 girls sit in a row at random.The probability that all the girls sit together is

asked Jul 9, 2014 by sreemathi.v

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If $A\cup B)=P(A \cap B)$ for any two events A and B,then

asked Jul 9, 2014 by sreemathi.v

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If A and B are mutually exclusive events,then

asked Jul 9, 2014 by sreemathi.v

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Coefficient of variance of two distributions are 50 and 60 , and their arithmetic means are 30 and 25 respectively. Difference of their standard deviation is:

asked Jul 9, 2014 by meena.p

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Without repetition of the numbers,four digit numbers are formed with the numbers 0,2,3,5.The probability of such a number divisible by 5 is

asked Jul 9, 2014 by sreemathi.v

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The following information relates to a sample of size 60: $\sum x^2 =18000, \sum x =960$ The variance is

asked Jul 9, 2014 by meena.p

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Consider the numbers $1,2,3,4,5,6,7,8,9,10$ . If $1$ is added to each number the variance of the numbers so obtained is

asked Jul 9, 2014 by meena.p

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Seven persons are to be seated in a row.The probability that two particular persons sit next to each other is

asked Jul 9, 2014 by sreemathi.v

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State whether the following statement is true or false and justify : The vertex of an equilateral triangle is (2, 3) and the equation of the opposite side is $x + y = 2$. Then the other two sides are $y - 3 = (2 \pm \sqrt3 ) (x - 2)$.

asked Jul 8, 2014 by thanvigandhi_1

1 answer

State whether the following statement is true or false and justify : The straight line $5x + 4y = 0$ passes through the point of intersection of the straight lines $x + 2y – 10 = 0$ and $ 2x + y + 5 = 0$

asked Jul 8, 2014 by thanvigandhi_1

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State whether the following statement is true or false and justify : Equation of the line passing through the point $(a \cos^3 \theta, a \sin^3 \theta)$ and perpendicular to the line $x \sec \theta + y \: cosec \theta = a $ is $ x \cos \theta - y \sin \theta = a \sin 2 \theta $

asked Jul 8, 2014 by thanvigandhi_1

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State whether the following statement is true or false and justify : The points A (– 2, 1), B (0, 5), C (– 1, 2) are collinear

asked Jul 8, 2014 by thanvigandhi_1

1 answer

Fill in the blank for the following : A point moves so that square of its distance from the point (3, –2) is numerically equal to its distance from the line $ 5x – 12y = 3$ . The equation of its locus is ____.

asked Jul 8, 2014 by thanvigandhi_1

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Fil in the blank for the following : The points (3, 4) and (2, – 6) are situated on the ____ of the line $3x – 4y – 8 = 0$ .

asked Jul 8, 2014 by thanvigandhi_1

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Standard deviations for first 10 natural number is

asked Jul 8, 2014 by meena.p

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Fill in the blank for the the following : Equations of the lines through the point $(3, 2)$ and making an angle of $ 45^{\circ}$ with the line $x-2y=3 $ are _______.

asked Jul 8, 2014 by thanvigandhi_1

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While shuffling a pack of 52 playing cards,2 are accidently dropped.Find the probability that the missing cards to be of different colours.

asked Jul 8, 2014 by sreemathi.v

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Fill in the bank for the following : the line which cuts off equal intercept from the axes and pass through the point (1, -2) is _________.

asked Jul 8, 2014 by thanvigandhi_1

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Three numbers are chosen from 1 to 20.Find the probability that they are not consecutive.

asked Jul 8, 2014 by sreemathi.v

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In a non-leap year,the probability of having 53 tuesdays or 53 wednesdays is

asked Jul 8, 2014 by sreemathi.v

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Let $x_,x_2,x_3,x_4,x_5$ be the observations with mean m and standard deviation s. The standard deviation of the observation $kx_1,kx_2,kx_3,kx_4,kx_5$ is

asked Jul 8, 2014 by meena.p

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Determine the probability P,for each of the following events.Sum of 6 appears in a single toss of a pair of fair dice.

asked Jul 8, 2014 by sreemathi.v

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Determine the probability P,for each of the following events.A king ,9 of hearts,or 3 of spades appears in drawing a single card from a well shuffled ordinary deck of 52 cards.

asked Jul 8, 2014 by sreemathi.v

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Determine the probability P,for each of the following events.Atleast one head in two tosses of a fair coin.

asked Jul 8, 2014 by sreemathi.v

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Determine the probability P,for each of the following events.An odd number appears in a single toss of a fair die.

asked Jul 8, 2014 by sreemathi.v

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Let $a,b,c,d,e$ be the observations with mean m and standard deviations $S$. The standard deviation of the observations $a+k,b+k,c+k,d+k,e+k$ is

asked Jul 8, 2014 by meena.p

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The mean of 100 observation is 50 and their standard deviation 5. The sum of all the observations is

asked Jul 8, 2014 by meena.p

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A sample space consists of a elementary outcomes $e_1,e_2........e_9$ whose probabilities are $P(e_1)=P(e_2)=0.08,P(e_3)=P(e_4)=P(e_5)=.1,P(e_6)=P(e_7)=.2,P(e_8)=p(e_9)=0.07$.Suppose $A=\{e_1,e_5,e_8\},B=\{e_2,e_5,e_8,e_9\}$.Calculate $P(\bar{B})$ from P(B),also calculate $P(\bar{B})$ directly from the elementary outcomes of $\bar{B}$.

asked Jul 8, 2014 by sreemathi.v

1 answer

A sample space consists of a elementary outcomes $e_1,e_2........e_9$ whose probabilities are $P(e_1)=P(e_2)=0.08,P(e_3)=P(e_4)=P(e_5)=.1,P(e_6)=P(e_7)=.2,P(e_8)=p(e_9)=0.07$.Suppose $A=\{e_1,e_5,e_8\},B=\{e_2,e_5,e_8,e_9\}$.List the composition of the event $A\cup B$,and calculate $P(A \cup B)$ by adding the probabilities of the elementary outcomes.

asked Jul 8, 2014 by sreemathi.v

1 answer

A sample space consists of a elementary outcomes $e_1,e_2........e_9$ whose probabilities are $P(e_1)=P(e_2)=0.08,P(e_3)=P(e_4)=P(e_5)=.1,P(e_6)=P(e_7)=.2,P(e_8)=p(e_9)=0.07$.Suppose $A=\{e_1,e_5,e_8\},B=\{e_2,e_5,e_8,e_9\}$.Using the addition law of probability ,calculate $P(A \cup B)$ .

asked Jul 8, 2014 by sreemathi.v

1 answer

A sample space consists of a elementary outcomes $e_1,e_2........e_9$ whose probabilities are $P(e_1)=P(e_2)=0.08,P(e_3)=P(e_4)=P(e_5)=.1,P(e_6)=P(e_7)=.2,P(e_8)=p(e_9)=0.07$.Suppose $A=\{e_1,e_5,e_8\},B=\{e_2,e_5,e_8,e_9\}$.Calculate P(A),P(B) and $P(A \cap B)$

asked Jul 8, 2014 by sreemathi.v

1 answer

Find the standard deviation of the data: $6,5,9,13,12,8,10$ is

asked Jul 8, 2014 by meena.p

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A card is drawn from a deck of 52 cards.Find the probability of getting a king or a heart or a red card.

asked Jul 8, 2014 by sreemathi.v

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If the letters of the word ASSASSINATION are arranged at random.Find the probability that no two A's are coming together

asked Jul 8, 2014 by sreemathi.v

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Following are the marks obtained by $9$ students in a mathematics test: $50,69,20,33,53,39,40,65,59$ The mean deviation from the median is :

asked Jul 8, 2014 by meena.p

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If the letters of the word ASSASSINATION are arranged at random.Find the probability that all A's are not coming together

asked Jul 8, 2014 by sreemathi.v

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When tested , the lives (in hours) of $5$ bulbs were noted as follows : $1357,1090,1666,1494,1623$ The mean deviations (in hours) from their mean is

asked Jul 8, 2014 by meena.p

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If the letters of the word ASSASSINATION are arranged at random.Find the probability that two I's and two N's come together.

asked Jul 8, 2014 by sreemathi.v

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If the letters of the word ASSASSINATION are arranged at random.Find the probability that four S's come consecutively in the word.

asked Jul 8, 2014 by sreemathi.v

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Mean deviation for n observation $x_1,x_2........x_n$ from their mean $\bar{x}$ is given by

asked Jul 8, 2014 by meena.p

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A bag contains 8 red and 5 white balls.Three balls are drawn at random.Find the probability that one ball is red and two balls are white

asked Jul 8, 2014 by sreemathi.v

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A bag contains 8 red and 5 white balls.Three balls are drawn at random.Find the probability that all the three balls are red

asked Jul 8, 2014 by sreemathi.v

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The mean deviation of the data $3,10,10,4,7,10,5$ from mean is

asked Jul 8, 2014 by meena.p

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A bag contains 8 red and 5 white balls.Three balls are drawn at random.Find the probability that all the three balls are white

asked Jul 8, 2014 by sreemathi.v

1 answer

One urn contains two black balls (labelled $B_1,B_2$) and one white ball.A second urn contains one black ball and two white balls (labelled $W_1,W_2$).Suppose the following experiment is performed.One of the two urns is chosen at random.Next a ball is randomly chosen from the urn.Then a second ball is chosen at random from the same urn without replacing the first ball.What is the probability that two balls of opposite colour are chosen.

asked Jul 8, 2014 by sreemathi.v

1 answer

One urn contains two black balls (labelled $B_1,B_2$) and one white ball.A second urn contains one black ball and two white balls (labelled $W_1,W_2$).Suppose the following experiment is performed.One of the two urns is chosen at random.Next a ball is randomly chosen from the urn.Then a second ball is chosen at random from the same urn without replacing the first ball.What is the probability that two black balls are chosen?

asked Jul 8, 2014 by sreemathi.v

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