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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

1 answer

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

1 answer

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

1 answer

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

1 answer

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

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

1 answer

Standard deviations for first 10 natural number is

asked Jul 8, 2014 by meena.p

1 answer

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

1 answer

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

1 answer

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

1 answer

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

asked Jul 8, 2014 by sreemathi.v

1 answer

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

asked Jul 8, 2014 by sreemathi.v

1 answer

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

1 answer

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

1 answer

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

1 answer

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

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 $A=\{e_1,e_5,e_8\},B=\{e_2,e_5,e_8,e_9\}$.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

1 answer

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

1 answer

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

1 answer

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

1 answer

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 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

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

While calculating the mean and variance of $10$ readings, a student wrongly used the reading $52$ for the correct reading $25$, the obtained the mean and variance as $45$ and $16$ respectively . Find the correct mean and the variance.

asked Jul 7, 2014 by meena.p

1 answer

One of the four persons John,Rita,Aslam or Gurpreet will be promoted next month.Consequently the sample space consists of four elementary outcomes S={John promoted,Rita promoted,Aslam promted,Gurpreet promoted}.You are told that the chances of John's promotion is same as that of Gurpreet,Rita's chances of promotion are twice as likely as John's,Aslam's chances are four times that of John.If A ={John promoted or Gurpreer promoted} find P(A)

asked Jul 7, 2014 by sreemathi.v

1 answer

One of the four persons John,Rita,Aslam or Gurpreet will be promoted next month.Consequently the sample space consists of four elementary outcomes S={John promoted,Rita promoted,Aslam promted,Gurpreet promoted}.You are told that the chances of John's promotion is same as that of Gurpreet,Rita's chances of promotion are twice as likely as John's,Aslam's chances are four times that of John.Determine P(John promoted),P(Rita promoted),P(Aslam promoted),P(Gurpreet promoted)

asked Jul 7, 2014 by sreemathi.v

1 answer

A team of medical students doing their internship have to assist during surgeries at a city hospital.The probabilities of surgeries rated as very complex,complex,routine,simple or very simple are respectively 0.15,0.20,0.31,0.26,0.08.Find the probabilities that a particular surgery will be rated routine or simple

asked Jul 7, 2014 by sreemathi.v

1 answer

A team of medical students doing their internship have to assist during surgeries at a city hospital.The probabilities of surgeries rated as very complex,complex,routine,simple or very simple are respectively 0.15,0.20,0.31,0.26,0.08.Find the probabilities that a particular surgery will be rated routine or complex

asked Jul 7, 2014 by sreemathi.v

1 answer

A team of medical students doing their internship have to assist during surgeries at a city hospital.The probabilities of surgeries rated as very complex,complex,routine,simple or very simple are respectively 0.15,0.20,0.31,0.26,0.08.Find the probabilities that a particular surgery will be rated neither very complex nor very simple

asked Jul 7, 2014 by sreemathi.v

1 answer

A team of medical students doing their internship have to assist during surgeries at a city hospital.The probabilities of surgeries rated as very complex,complex,routine,simple or very simple are respectively 0.15,0.20,0.31,0.26,0.08.Find the probabilities that a particular surgery will be rated complex or very complex

asked Jul 7, 2014 by sreemathi.v

1 answer

An experiment consists of rolling a die until a 2 appears.How many elements of the sample space correspond to the event that the 2 appears not later than the $k^{th}$ roll of the die?[Hint (a) first (k-1) rolls have 5 outcomes each and $k^{th}$ rolls should result in 1 outcomes.(b) $1+5+5^2+.......5^{k-1}$]

asked Jul 7, 2014 by sreemathi.v

1 answer

An experiment consists of rolling a die until a 2 appears.How many elements of the sample space correspond to the event that the 2 appears on the $k^{th}$ roll of the die?[Hint (a) first (k-1) rolls have 5 outcomes each and $k^{th}$ rolls should result in 1 outcomes.(b) $1+5+5^2+.......5^{k-1}$]

asked Jul 7, 2014 by sreemathi.v

1 answer

Suppose an integer from 1 through 1000 is chosen at random,find the probability that the integer is a multiple of 2 or a multiple of 9.

asked Jul 7, 2014 by sreemathi.v

1 answer

The weights of coffee in 70 jars is shown in the following table : Determine variance and standard deviation of the above distribution.

asked Jul 7, 2014 by meena.p

1 answer

The number lock of a suitcase has four wheels,each labelled with 10 digits (ie) from 0 to 9.The lock opens with a sequence of four digits with no repeats.What is the probability of a person getting the right sequence to open the suitcase?

asked Jul 7, 2014 by sreemathi.v

1 answer

Choose the correct answer from the given four options. The ratio in which the line $3x + 4y + 2 = 0$ divides the distance between the lines $3x + 4y + 5 = 0$ and $3x + 4y – 5 = 0$ is

asked Jul 6, 2014 by thanvigandhi_1

1 answer

Choose the correct answer from the given four options. A line passes through (2, 2) and is perpendicular to the line $3x + y=3$. Its y - intercept is

asked Jul 6, 2014 by thanvigandhi_1

1 answer

Choose the correct answer from the given four options. A point equidistant from the lines $4x + 3y + 10 = 0, 5x – 12y + 26 = 0$ and $7x+24y-50=0$ is

asked Jul 6, 2014 by thanvigandhi_1

1 answer

Choose the correct answer from the given four options. For specifying a straight line, how many geometrical parameters should be known ?

asked Jul 6, 2014 by thanvigandhi_1

1 answer

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