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1.

For the following distribution function F(x)  of a rv.X

$P(3<x\leq5)=$

A) 0.48

B) 0.37

C) 0.27

D) 1.47

2.

$\triangle$ ABC  has vertices at A=(2,3,5), B=(-1,3,2) and C= ($\lambda$,5, $\mu$). If the median through A is equally inclined to the axes, then the values of $\lambda$  and $\mu$  respectively are

A) 10,7

B) 9,10

C) 7,9

D) 7,10

3.

The value of

$\cos ^{-1}\left(\cot\left(\frac{\pi}{2}\right)\right)+\cos ^{-1}\left(\sin\left(\frac{2\pi}{3}\right)\right)$  is

A) $\frac{2\pi}{3}$

B) $\frac{\pi}{3}$

C) $\frac{\pi}{2}$

D) $\pi$

4.

If the  distance of points $2\hat{i}+3\hat{j}+\lambda \hat{k}$ from the plane $r.(3\hat{i}+2\hat{j}+6\hat{k})=13$ is  5 units. then $\lambda$=

A) 6,$-\frac{17}{3}$

B) 6,$\frac{17}{3}$

C) -6,$-\frac{17}{3}$

D) -6,$\frac{17}{3}$

5.

Probability that a person will develop immunity after  vaccinations is 0.8 .If 8 people are given the vaccine, then probability  that all develop  immunity is =

A) $(0.2)^{8}$

B) $(0.8)^{8}$

C) 1

D) $^{8}C_{6}(0.2)^{6}(0.8)^{2}$

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