Recent questions tagged class11

If $\bar {x}$ is the mean of n values of x, then $\sum \limits_{i=1}^{n} (x_i -\bar{x} )$ is always equal to _______. If a has any value other than $\bar {x}$ , then $\sum \limits_{i-1}^{n} (x_i -\bar {x} )^2$ is _________ than $\sum (x_i -a)^2$

asked Jul 9, 2014 by meena.p

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The probability that at least one of the events A and B occurs is 0.6.If A and B occur simultaneously with probability 0.2.Then $P(\bar{A})+P(\bar{B})$ is

asked Jul 9, 2014 by sreemathi.v

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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

1 answer

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

1 answer

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

1 answer

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

1 answer

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

1 answer

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

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 $P(\bar{B})$ 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

1 answer

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

1 answer

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

1 answer

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

1 answer

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

1 answer

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

asked Jul 8, 2014 by meena.p

1 answer

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

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