Recent questions tagged exemplar

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.Write the sample space showing all possible outcomes.

asked Jul 8, 2014 by sreemathi.v

1 answer

The accompanying venn diagram shows three events A,B and C,and also the probabilities of the various intersections (for instance $P(A \cap B)=0.07$).Determine Probability of exactly one of the three occurs

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

The accompanying venn diagram shows three events A,B and C,and also the probabilities of the various intersections (for instance $P(A \cap B)=0.07$).Determine $P(B\cap C)$

asked Jul 7, 2014 by sreemathi.v

1 answer

The accompanying venn diagram shows three events A,B and C,and also the probabilities of the various intersections (for instance $P(A \cap B)=0.07$).Determine $P(A\cap \bar{B})$

asked Jul 7, 2014 by sreemathi.v

1 answer

The accompanying venn diagram shows three events A,B and C,and also the probabilities of the various intersections (for instance $P(A \cap B)=0.07$).Determine $P(A\cup B)$

asked Jul 7, 2014 by sreemathi.v

1 answer

The accompanying venn diagram shows three events A,B and C,and also the probabilities of the various intersections (for instance $P(A \cap B)=0.07$).Determine $P(B \cap \bar{C}$)

asked Jul 7, 2014 by sreemathi.v

1 answer

The accompanying venn diagram shows three events A,B and C,and also the probabilities of the various intersections (for instance $P(A \cap B)=0.07$).Determine P(A)

asked Jul 7, 2014 by sreemathi.v

1 answer

Mean and standard deviation of $100$ observation were found to be $40$ and $10$ respectively . If at the times of calculation two observations were wrongly takes as $30$ and $70$ in place of $3$ and $27$ respectively. Find the correct standard deviation.

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

Four candidates A,B,C,D have applied for the assignment to coach a school cricket team.If A is twice as likely to be selected as B,and B and C are given about the same chance of being selected,while C is twice as likely to be selected as D,what are the probabilities that A will not be selected?

asked Jul 7, 2014 by sreemathi.v

1 answer

Four candidates A,B,C,D have applied for the assignment to coach a school cricket team.If A is twice as likely to be selected as B,and B and C are given about the same chance of being selected,while C is twice as likely to be selected as D,what are the probabilities that C will be selected?

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

If A and B are mutually exclusive events,$P(A)=0.35$ and $P(B)=0.45$ find $P(A' \cap B')$

asked Jul 7, 2014 by sreemathi.v

1 answer

Following are the marks obtained , out of 100 by two students Ravi and Hashina in 10 tests: Who is more intelligent and who is more consistent?

asked Jul 7, 2014 by meena.p

1 answer

If A and B are mutually exclusive events,$P(A)=0.35$ and $P(B)=0.45$ find $P(A \cap B')$

asked Jul 7, 2014 by sreemathi.v

1 answer

If A and B are mutually exclusive events,$P(A)=0.35$ and $P(B)=0.45$ find $P(A \cap B)$

asked Jul 7, 2014 by sreemathi.v

1 answer

If A and B are mutually exclusive events,$P(A)=0.35$ and $P(B)=0.45$ find $P(A \cup B)$

asked Jul 7, 2014 by sreemathi.v

1 answer

If A and B are mutually exclusive events,$P(A)=0.35$ and $P(B)=0.45$ find P(B')

asked Jul 7, 2014 by sreemathi.v

1 answer

If A and B are mutually exclusive events,$P(A)=0.35$ and $P(B)=0.45$ find P(A')

asked Jul 7, 2014 by sreemathi.v

1 answer

In a large metropolitan area ,the probabilities are 0.87,0.36,0.30 that a family (randomly chosen for a sample survey) owns a colour television set,a black and white television set,or both kinds of sets.What is the probability that a family owns either anyone or both kinds of sets?

asked Jul 7, 2014 by sreemathi.v

1 answer

A die is loaded in such a way that each odd number is twice as likely to occur as each even number.Find P(G),where G is the event that a number greater than 3 occurs on a single roll of the die.

asked Jul 7, 2014 by sreemathi.v

1 answer

Determine mean and standard deviation of first n terms of an A.P whose first term is 'a' and common difference d.

asked Jul 7, 2014 by meena.p

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

Six new employees,two of whom are married to each other,are to be assigned six desks that are lined up in a row.If the assignment of employees to desks is made randomly,what is the probability that the married couple will have non adjacent desks?

asked Jul 7, 2014 by sreemathi.v

1 answer

If the letters of the word ALGORITHM are arranged at random in a row what is the probability the letters GOR must remain together as a unit ?

asked Jul 7, 2014 by sreemathi.v

1 answer

Fill in the blank for the following : If a, b, c are in A.P., then the straight lines ax + by + c = 0 will always pass through ____.

asked Jul 6, 2014 by thanvigandhi_1

1 answer

Choose the correct answer from the given four options. One vertex of the equilateral triangle with centroid at the origin and one side as x + y – 2 = 0 is \[\] [Hint: Let ABC be the equilateral triangle with vertex A (h, k) and let D ($ \alpha , \beta $ ) be the point on BC. Then $ \large\frac{2\alpha + h}{3}$$=0 = \large\frac{2\beta + k}{3}$. Also $ \alpha + \beta -2 = 0$ and $ \bigg( \large\frac{k-0}{h-0} \bigg) $$ \times (-1) =-1]$

asked Jul 6, 2014 by thanvigandhi_1

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. The point (4, 1) undergoes the following two successive transformations : \[\] (i) Reflection about the line $y=x$ \[\] (ii) Translation through a distance 2 units along the positive x-axis \[\] Then the final coordinates of the point are

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

Determine the mean and standard deviation for the following distribution:

asked Jul 4, 2014 by meena.p

1 answer

Calculate the mean deviation from the median of the following frequency data:

asked Jul 4, 2014 by meena.p

1 answer

Calculate the mean deviation about the mean for the following frequency distribution.

asked Jul 4, 2014 by meena.p

1 answer

Find the mean and variance of the frequency distribution given below:

asked Jul 4, 2014 by meena.p

1 answer

If for a distribution $ \sum (x-5) =3,\sum (x-5)^2 =43$ and the total number of items is $18$. Find the mean and standard deviation .

asked Jul 4, 2014 by meena.p

1 answer

Mean and standard deviation of 100 items are 50 and 4 , respectively . find the sum of all items and sum of the squares of the items.

asked Jul 4, 2014 by meena.p

1 answer

The mean life of a sample of 60 bulbs was 650 hours and the standard deviation was 8 hours. A second sample of 80 bulbs has a mean life of 660 hours and standard deviation 7 hours. Find the overall standard deviation.

asked Jul 4, 2014 by meena.p

1 answer

Choose the correct answer from the given four options. The coordinates of the foot of perpendiculars from the point (2, 3) on the line $y = 3x + 4 $ is given by

asked Jul 3, 2014 by thanvigandhi_1

1 answer

Choose the correct answer from the given four options. The distance between the lines $ y = mx + c_1$ and $ y = mx + c_2$ is

asked Jul 3, 2014 by thanvigandhi_1

1 answer

Choose the correct answer from the given four options. The equations of the lines passing through the point (1, 0) and at a distance $ \large\frac{\sqrt 3 }{2}$ from the origin, are

asked Jul 3, 2014 by thanvigandhi_1

1 answer

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