Processing math: 22%




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1.

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

2162021131_m1.PNG

P(3<x5)=


A) 0.48

B) 0.37

C) 0.27

D) 1.47



2.

ABC  has vertices at A=(2,3,5), B=(-1,3,2) and C= (λ,5, μ). If the median through A is equally inclined to the axes, then the values of λ  and μ  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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