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Recent questions tagged p272

The conjugate of $i^{13}+i^{14}+i^{15}+i^{16}$ is

asked May 12, 2013 by poojasapani_1

1 answer

The value of $i+i^{22}+i^{23}+i^{24}+i^{25}$ is

asked May 12, 2013 by poojasapani_1

1 answer

$z_{1}=4+5i,z_{2}=-3+2i$ then $\large\frac{z_{1}}{z_{2}}$is

asked May 12, 2013 by poojasapani_1

1 answer

If $ a=\cos\alpha- i \sin \alpha,b=\cos\beta-i \sin\beta,c=\cos\gamma-i\sin\gamma$ then $(a^{2} c^{2} -b^{2})/abc$ is

asked May 12, 2013 by poojasapani_1

0 answers

If $x=\cos\theta+i\sin\theta $ the value of $x^{n}+\large\frac{1}{x^{n}}$ is

asked May 12, 2013 by poojasapani_1

1 answer

If $-\overline{z}$ lies in the third quadrant then $z$ lies in the

asked May 12, 2013 by poojasapani_1

1 answer

If $z_{n}=\cos\large\frac{n\pi}{3}$$+i\sin\large\frac{n\pi}{3} $ then $z_{1}z_{2} \dots\;z_{6}$is

asked May 12, 2013 by poojasapani_1

1 answer

$\large\frac{1+e^{-i\theta}}{1+e^{i\theta}}$=

asked May 12, 2013 by poojasapani_1

1 answer

If $p$ represents the veriable complex number $z$ and if $|2z-1|=2|z|$ then the locus of $p$ is

asked May 12, 2013 by poojasapani_1

1 answer

In a dice game, a player pays a stake of Re1 for each throw of a die.She receives Rs 5 if the die shows a 3,Rs 2 if the die shows a 1 or 6,and nothing otherwise.What is the player's expected profit per throw over a long series of throws?

asked Jan 8, 2013 by sreemathi.v

1 answer

If X is the number of tails in three tosses of a coin ,determine the standard deviation of X.

asked Jan 8, 2013 by sreemathi.v

1 answer

Prove that\begin{array}{1 1}(i)\;P(A)+P(A\cap B)+P(A\cap \bar{B})\\(ii)\;P(A\cup B)=P(A\cap B)+P(A\cap\bar{B})+P(\bar{A}\cap\bar{B})\end{array}

asked Jan 8, 2013 by sreemathi.v

1 answer

A discrete random variable X has the probability distribution given as below:

asked Jan 8, 2013 by sreemathi.v

1 answer

Let $E_1$ and $E_2$ be the two independent events.Such that $P(E_1)=p_1$ and $P(E_2)=p_2$.

asked Jan 8, 2013 by sreemathi.v

1 answer

Three events A,B and C have probabilities $\Large \frac{2}{5},\frac{1}{3}$ and $\Large \frac{1}{2}$,respectively.Given that $P(A\cap C)=\frac{1}{5}\;and\;P(B\cap C)=\frac{1}{4}$,find the value of $P(C|B)\; and \;P(A'\cap C').$

asked Jan 8, 2013 by sreemathi.v

1 answer

A and B are two events such that $P(A)=\frac{1}{2},P(B)=\frac{1}{3} and\; P(A\cap B)=\frac{1}{4}$.Find:\[(i)\;P(A|B)\quad(ii)\;P(B|A)\quad(iii)\;P(A'|B)\quad(iv)\;P(A'|B')\]

asked Jan 8, 2013 by sreemathi.v

1 answer

Explain why the experiment of tossing a coin three times is said to have binomial distribution.

asked Jan 8, 2013 by sreemathi.v

1 answer

Two dice are thrown together and the total score is noted.The events E,F and G are 'a total of 4','a total of 9 or more',and 'a total divisible by 5'respectively.Calculate P(E),P(F) and P(G) and decide which pairs of events,if any, are independent.

asked Jan 8, 2013 by sreemathi.v

1 answer

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