F. Y. B. Sc. IT Sem - II Internal Examination 2019 - Nsm
40 Questions
| Total Attempts: 61
Questions and Answers
- 1.A random variable which takes finite or countably infinite values called as ____________ random variable.
- A.
Discrete
- B.
Continuous
- C.
Hybrid
- D.
Stop
- 2.A random variable is said be ___________ if it takes any value in a given interval.
- A.
Continuous
- B.
Discrete
- C.
Hybrid
- D.
Probability
- 3.Verify whether the following functions can be p.m.f. or not. P(x) = 0.1, 0.2, 0.3, 0.2, 0.2
- A.
It is a p.m.f.
- B.
It is not a p.m.f.
- 4.Verify whether the following functions can be p.m.f. or not. P(x) = 0.5, -0.1, 0.6, 0
- A.
It is a p.m.f.
- B.
It is not a p.m.f.
- 5.Find k, if following function is p.m.f.p(x) = k, 2k, 3k, 4k, 5k.
- A.
1/15
- B.
2/15
- C.
0.11
- D.
-0.1
- 6.Find p(x
- A.
0.1
- B.
0.4
- C.
0.2
- D.
0.3
- 7.Find p(x>=3) if p(0)=0.1, p(1)=0.2,p(2)=0.3,p(3)=0.15,p(4)=0.25
- A.
0.4
- B.
0.1
- C.
0.2
- D.
0.3
- 8.Find p(1<x<4) if p(0) = 0.1, p(1) = 0.2, p(2) = 0.3, p(3) = 0.15, p(4) = 0.25.
- A.
0.45
- B.
0.1
- C.
0.2
- D.
0.3
- 9.Find p(2<=x<=3) if p(0) = 0.1, p(1) = 0.2, p(2) = 0.3, p(3) = 0.15, p(4) = 0.25.
- A.
0.45
- B.
0.1
- C.
0.3
- D.
0.44
- 10.Find c.d.f. of 1 where p(1) = 3/5, p(3) = 3/10, p(5) = 1/10.
- A.
3/5
- B.
9/10
- C.
1
- D.
5
- 11.Find c.d.f. of 3 where p(1) = 3/5, p(3) = 3/10, p(5) = 1/10.
- A.
9/10
- B.
3/5
- C.
1
- D.
3/10
- 12.Find c.d.f. of 5 where p(1) = 3/5, p(3) = 3/10, p(5) = 1/10.
- A.
1
- B.
9/10
- C.
3/10
- D.
3/5
- 13.Find k, if the function f defined by f(x) = k x, 0 < x < 2 is the p.d.f. of a random variable x.
- A.
1/2
- B.
2
- C.
1
- D.
2/3
- 14.Expected value is also called as _________.
- A.
Mean
- B.
Variance
- C.
Distribution
- D.
Standard deviation
- 15.The positive square root of variance is called _____________.
- A.
Standard deviation
- B.
Variance
- C.
Mean
- D.
Binomial
- 16.Find c if, p(0) = c, p(1) = 2c, p(2) = 4c, p(3) = 2c, p(4) = c.
- A.
1/10
- B.
2/10
- C.
10
- D.
1
- 17.Find p(x>=2) if, p(0) = c, p(1) = 2c, p(2) = 4c, p(3) = 2c, p(4) = c.
- A.
7/10
- B.
3/10
- C.
1/10
- D.
7
- 18.Find p(x<3) if, p(0) = c, p(1) = 2c, p(2) = 4c, p(3) = 2c, p(4) = c.
- A.
7/10
- B.
3/10
- C.
1/10
- D.
10
- 19.Find p(x<=1) if, p(0) = c, p(1) = 2c, p(2) = 4c, p(3) = 2c, p(4) = c.
- A.
3/10
- B.
7/10
- C.
10
- D.
1
- 20.A random variable x is said to follow discrete uniform distribution if its p.m.f. if _______.
- A.
1/n
- B.
1/0
- C.
2
- D.
3
- 21.In uniform distribution E(x) = _________
- A.
(n+1)/2
- B.
N+1/2
- C.
N/2+1
- D.
1+n
- 22.In uniform distribution var(x) = _________
- A.
(n2 - 1)/12
- B.
N/12
- C.
(n-1)/12
- D.
1/12
- 23.In Binomial distribution, p is called probability of ______________
- A.
Success
- B.
Failure
- 24.In Binomial distribution, q is called probability of ______________
- A.
Failure
- B.
Success
- 25.In Binomial distribution, if p is known then q can be calculated from following formula.
- A.
1-p
- B.
1+p
- C.
1-q
- D.
P+q
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