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Recent questions tagged p219

The number of accidents in a year involving taxi drivers in a city follows a poisson distribution with mean equal to $3$ out of $1000$ taxi drivers find approximately the number of driver with more than $3$ accidents in a year $[e^{-3}=0.0498].$

asked Apr 21, 2013 by poojasapani_1

1 answer

The number of accidents in a year involving taxi drivers in a city follows a poisson distribution with mean equal to $3$. Out of $1000$ taxi drivers find approximately the number of driver with no accident in a year .$[e^{-3} = 0.0498].$

asked Apr 21, 2013 by poojasapani_1

1 answer

Alpha particles are emitted by a radio active source at an average rate of $5$ in a $20$ minutes interval.Using poisson distribution find the probability that there will be at least $2$ emission in a particular $20$ minutes interval .$[e^{-5}=0.0067].$

asked Apr 21, 2013 by poojasapani_1

1 answer

Alpha particles are emitted by a radio active source at an average rate of $5$ in a $20$ minutes interval.Using poisson distribution find the probability that there will be $2$ emission.$[e^{-5}=0.0067].$

asked Apr 21, 2013 by poojasapani_1

1 answer

$20\%$ of the bolts produced in a factory are found to be defective. Find the probability that in a sample of $10$ bolts chosen at random exactly $2$ will be defective using ,Poisson distribution.$ [e^{-2}=0.1353].$

asked Apr 21, 2013 by poojasapani_1

1 answer

$20\%$ of the bolts produced in a factory are found to be defective. Find the probability that in a sample of $10$ bolts chosen at random exactly $2$ will be defective using ,Binomial distribution.

asked Apr 21, 2013 by poojasapani_1

1 answer

True-or-false: If $\overrightarrow{a}$ and $\overrightarrow{b}$ are adjacent sides of a rhombus,then $\overrightarrow{a}.\overrightarrow{b}=0$

asked Jan 17, 2013 by sreemathi.v

1 answer

True-or-False: The formula $(\overrightarrow{a}+\overrightarrow{b})^2=\mid{\overrightarrow{a}\mid}^2+\mid{\overrightarrow{b}\mid}^2\;+2\mid\overrightarrow{a}\mid.\mid\overrightarrow{b}\mid$ is valid for non-zero vectors $\overrightarrow{a}$ and $\overrightarrow{b}.$

asked Jan 17, 2013 by sreemathi.v

1 answer

True-or-False: If $\mid \overrightarrow{a}+\overrightarrow{b}\mid=\mid \overrightarrow{a}-\overrightarrow{b}\mid$,then the vectors $\overrightarrow{a}$ and $\overrightarrow{b}$ are orthogonal.

asked Jan 17, 2013 by sreemathi.v

1 answer

True-or-False: Position vector of a point P is a vector whose initial point is origin.

asked Jan 17, 2013 by sreemathi.v

1 answer

True-or-False: If $\mid\overrightarrow{ a}\mid=\mid\overrightarrow {b}\mid$,then necessarily it implies $\overrightarrow{ a}=\overrightarrow {b}.$

asked Jan 17, 2013 by sreemathi.v

1 answer

If $\overrightarrow a$ is any non-zero vector ,then $(\overrightarrow a.\hat i)\hat i\;+(\overrightarrow a.\hat j)\hat j\;+(\overrightarrow a.\hat k)\hat k$ equals__________.

asked Jan 17, 2013 by sreemathi.v

1 answer

If ${\mid\overrightarrow{a}\times\overrightarrow{b}\mid}^2$=${\mid\overrightarrow{a}.\overrightarrow{b}\mid}^2=144$ and$\mid\overrightarrow{a}\mid=4,$ then $\mid\overrightarrow{b}\mid$ is equal to ________.

asked Jan 17, 2013 by sreemathi.v

1 answer

The value of the expression ${\mid \overrightarrow{a}\times \overrightarrow{b}\mid}^2+(\overrightarrow{a}.\overrightarrow{b})^2$ is _________.

asked Jan 17, 2013 by sreemathi.v

1 answer

The values of k for which $\mid k\overrightarrow{a}\mid\le\mid\overrightarrow{a}\mid$ and $k\overrightarrow{a}+\frac{1}{2}\overrightarrow{a}$ is parallel to $\overrightarrow{a}$ holds true are_________.

asked Jan 17, 2013 by sreemathi.v

1 answer

The vectors $\overrightarrow{a}=3\hat i+2\hat j+2\hat k$ and $\overrightarrow{b}=-\hat i+2\hat k$ are the adjacent sides of a parallelogram .The acute angle between its diagonals is__________.

asked Jan 17, 2013 by sreemathi.v

1 answer

If $\overrightarrow{r}.\overrightarrow{a}=0,\overrightarrow{r}.\overrightarrow{b}=0$ and $\overrightarrow{r}.\overrightarrow{c}=0$ for some non-zero vector $\overrightarrow{r}$,then the value of $\overrightarrow{a}.(\overrightarrow{b}\times\overrightarrow{c})$ is___________.

asked Jan 17, 2013 by sreemathi.v

1 answer

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