12 - Maths - Unit 10 - Probability Distributions
26 Questions
| Total Attempts: 755
.png "12 - Maths - Unit 10 - Probability Distributions")
Prepared by, R VISVANATHAN, PG ASST IN MATHS, GHSS, PERIYATHACHUR, TINDIVANAM TK-605651 ; &nbs p; & www. Padasalai. Net
Questions and Answers
- 1.
![If is a probability density function then the value of k is
(1) (2) (3) (4) - ProProfs]( "If is a probability density function then the value of k is
(1) (2) (3) (4)")
If is a probability density function then the value of k is (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 2.
![If is a p.d.f of a continuous random variable X, then the value of A is
(1) 16 (2) 8 (3) 4 (4) 1 - ProProfs]( "If is a p.d.f of a continuous random variable X, then the value of A is
(1) 16 (2) 8 (3) 4 (4) 1")
If is a p.d.f of a continuous random variable X, then the value of A is (1) 16 (2) 8 (3) 4 (4) 1- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 3.
![A random variable X has the following probability distribution
X
0
1
2
3
4
5
P(X=x)
1/4
2a
3a
4a
5a
1/4
Then is
(1) (2) (3) (4) - ProProfs]( "A random variable X has the following probability distribution
X
0
1
2
3
4
5
P(X=x)
1/4
2a
3a
4a
5a
1/4
Then is
(1) (2) (3) (4)")
A random variable X has the following probability distribution X 0 1 2 3 4 5 P(X=x) 1/4 2a 3a 4a 5a 1/4 Then is (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 4.
![A random variable X has the following probability mass function as follows:
X
-2
3
1
P(X=x)
Then the value of is
(1) 1 (2) 2 (3) 3 (4) 4 - ProProfs]( "A random variable X has the following probability mass function as follows:
X
-2
3
1
P(X=x)
Then the value of is
(1) 1 (2) 2 (3) 3 (4) 4")
A random variable X has the following probability mass function as follows: X -2 3 1 P(X=x) Then the value of is (1) 1 (2) 2 (3) 3 (4) 4- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 5.
![A random variable X has the following p.d.f.
X
0
1
2
3
4
5
6
7
P(X=x)
0
Then the value of is
(1) (2) (3) 0 (4) or - ProProfs]( "A random variable X has the following p.d.f.
X
0
1
2
3
4
5
6
7
P(X=x)
0
Then the value of is
(1) (2) (3) 0 (4) or")
A random variable X has the following p.d.f. X 0 1 2 3 4 5 6 7 P(X=x) 0 Then the value of is (1) (2) (3) 0 (4) or- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 6.
![X is a discrete random variable which takes the value 0, 1, 2 and , then the value of is
(1) (2) (3) (4) - ProProfs]( "X is a discrete random variable which takes the value 0, 1, 2 and , then the value of is
(1) (2) (3) (4)")
X is a discrete random variable which takes the value 0, 1, 2 and , then the value of is (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 7.
![Given and then the value of is
(1) - 2 (2) 4 (3) - 4 (4) 2 - ProProfs]( "Given and then the value of is
(1) - 2 (2) 4 (3) - 4 (4) 2")
Given and then the value of is (1) - 2 (2) 4 (3) - 4 (4) 2- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 8.
![is
(1) 7 (2) 16Var(X) (3) 19 (4) 0 - ProProfs]( "is
(1) 7 (2) 16Var(X) (3) 19 (4) 0")
is (1) 7 (2) 16Var(X) (3) 19 (4) 0- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 9.
![X is a random variable taking the values 3 , 4 and 12 with probabilities and . Then is
(1) 5 (2) 7 (3) 6 (4) 3 - ProProfs]( "X is a random variable taking the values 3 , 4 and 12 with probabilities and . Then is
(1) 5 (2) 7 (3) 6 (4) 3")
X is a random variable taking the values 3 , 4 and 12 with probabilities and . Then is (1) 5 (2) 7 (3) 6 (4) 3- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 10.
![Variance of the random variable X is 4. Its mean is 12. then is
(1) 2 (2) 4 (3) 6 (4) 8 - ProProfs]( "Variance of the random variable X is 4. Its mean is 12. then is
(1) 2 (2) 4 (3) 6 (4) 8")
Variance of the random variable X is 4. Its mean is 12. then is (1) 2 (2) 4 (3) 6 (4) 8- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 11.
![The mean of a binomial distribution is 5 and its standard deviation is 2. Then the value of n and p are
(1) (2) (3) (4) - ProProfs]( "The mean of a binomial distribution is 5 and its standard deviation is 2. Then the value of n and p are
(1) (2) (3) (4)")
The mean of a binomial distribution is 5 and its standard deviation is 2. Then the value of n and p are (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 12.
![For a discrete random variable X. Then the mean of the random variable X is
(1) 16 (2) 5 (3) 2 (4) 1 - ProProfs]( "For a discrete random variable X. Then the mean of the random variable X is
(1) 16 (2) 5 (3) 2 (4) 1")
For a discrete random variable X. Then the mean of the random variable X is (1) 16 (2) 5 (3) 2 (4) 1- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 13.
![If the mean and standard deviation of a binomial distribution are 12 and 2 respectively. Then the value of its parameter p is
(1) (2) (3) (4) - ProProfs]( "If the mean and standard deviation of a binomial distribution are 12 and 2 respectively. Then the value of its parameter p is
(1) (2) (3) (4)")
If the mean and standard deviation of a binomial distribution are 12 and 2 respectively. Then the value of its parameter p is (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 14.In 16 throws of a die getting an even number is considered a success. Then the variance of the successes is (1) 4 (2) 6 (3) 2 (4) 256
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 15.
![In 5 throws of a die, getting 1 or 2 is a success. The mean number of successes is
(1) (2) (3) (4) - ProProfs]( "In 5 throws of a die, getting 1 or 2 is a success. The mean number of successes is
(1) (2) (3) (4)")
In 5 throws of a die, getting 1 or 2 is a success. The mean number of successes is (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 16.
![If two cards are drawn from a well shuffled pack of 52 cards, the probability that they are of the same colours is
(1) (2) (3) (4) - ProProfs]( "If two cards are drawn from a well shuffled pack of 52 cards, the probability that they are of the same colours is
(1) (2) (3) (4)")
If two cards are drawn from a well shuffled pack of 52 cards, the probability that they are of the same colours is (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 17.
![If in a poisson distribution then the variance is
(1) (2) (3) (4) - ProProfs]( "If in a poisson distribution then the variance is
(1) (2) (3) (4)")
If in a poisson distribution then the variance is (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 18.
![If a random variable X follows Poisson distribution such that then the variance of the distribution is
(1) 6 (2) 5 (3) 30 (4) 25 - ProProfs]( "If a random variable X follows Poisson distribution such that then the variance of the distribution is
(1) 6 (2) 5 (3) 30 (4) 25")
If a random variable X follows Poisson distribution such that then the variance of the distribution is (1) 6 (2) 5 (3) 30 (4) 25- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 19.
![A box contains 6 red and 4 white balls. If 3 balls are drawn at random, the probability of getting 2 white balls is
(1) (2) (3) (4) - ProProfs]( "A box contains 6 red and 4 white balls. If 3 balls are drawn at random, the probability of getting 2 white balls is
(1) (2) (3) (4)")
A box contains 6 red and 4 white balls. If 3 balls are drawn at random, the probability of getting 2 white balls is (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 20.The distribution function F(X) of a random variable X is (1) a decreasing function (2) an increasing function (3) a constant function (4) increasing first and then decreasing
- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 21.
![For a Poisson distribution with parameter the value of the moment about the origin is
(1) 0.25 (2) 0.3125 (3) 0.0625 (4) 0.025 - ProProfs]( "For a Poisson distribution with parameter the value of the moment about the origin is
(1) 0.25 (2) 0.3125 (3) 0.0625 (4) 0.025")
For a Poisson distribution with parameter the value of the moment about the origin is (1) 0.25 (2) 0.3125 (3) 0.0625 (4) 0.025- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 22.
![In a Poisson distribution if then the value of its parameter is
(1) 6 (2) 2 (3) 3 (4) 0 - ProProfs]( "In a Poisson distribution if then the value of its parameter is
(1) 6 (2) 2 (3) 3 (4) 0")
In a Poisson distribution if then the value of its parameter is (1) 6 (2) 2 (3) 3 (4) 0- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 23.
![If f(x) is a p.d.f of a normal distribution with mean then is
(1) 1 (2) 0.5 (3) 0 (4) 0.25 - ProProfs]( "If f(x) is a p.d.f of a normal distribution with mean then is
(1) 1 (2) 0.5 (3) 0 (4) 0.25")
If f(x) is a p.d.f of a normal distribution with mean then is (1) 1 (2) 0.5 (3) 0 (4) 0.25- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 24.
![The random variable X follows normal distribution then the value of is
(1) (2) (3) (4) - ProProfs]( "The random variable X follows normal distribution then the value of is
(1) (2) (3) (4)")
The random variable X follows normal distribution then the value of is (1) (2) (3) (4)- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
- 25.
![If f(x) is a p.d.f. of a normal variate and then is
(1) undefined (2) 1 (3) .5 (4) -.5 - ProProfs]( "If f(x) is a p.d.f. of a normal variate and then is
(1) undefined (2) 1 (3) .5 (4) -.5")
If f(x) is a p.d.f. of a normal variate and then is (1) undefined (2) 1 (3) .5 (4) -.5- A.
(1)
- B.
(2)
- C.
(3)
- D.
(4)
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