Home
Class 11
MATHS
A random variable has the following prob...

A random variable has the following probability distribution:
`X=x_i :\ \ 0 \ \ 1 \ \ 2 \ \ 3 \ \ 4 \ \ 5 \ \ 6 \ \ 7`
`P(X=x_i):0 \ \ 2p \ \ 2 p\ \ 3p\ \ p^2\ \ 2p^2 \ \ 7p^2 \ \ 2p`
The value of `p` is
a. `1/10`
b. `-1`
c. `-1/10`
d. `1/5`

A

`1//10`

B

`-1`

C

`-1//10`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DISCRETE PROBABILITY DISTRIBUTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|1 Videos
  • DETERMINANTS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos
  • FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

A random, variable X has the following probability distribution: X :\ \ 0\ 1\ 2\ \ 3\ \ 4\ 5\ \ 6\ 7 P(X):0\ \ k\ 2k\ \ 2k\ 3k\ \ k^2\ \ 2k^2\ \ 7k^2+k Find each of the following: i. k ii. P(X<6) iii. P(Xgeq6) iv. P(0< X < 5)

A random variable X has the following probability distribution: Values of X :0\ 1\ \ 2\ 3\ \ 4\ 5\ \ 6\ \ 7\ 8 P(x): a\ 3a\ 5a\ 7a\ \ 9a\ 11 a\ 13 a\ 15 a\ 17 a Determine: (i). The value of a (ii) P(X<3),\ P(Xgeq3),\ P(0< X < 5)

A random variable X has the following probability distribution: X: 0 1 2 3 4 5 6 7 , P\ (X): 0 K 2K 2K 3K K^2 2K^2\ 7K^2+K Determine: (i) K (ii) P(X 6) (iv) P (0 < X < 3)

A discrete random variable X has the probability distribution given below: X :\ 0. 5 \ \ 1\ \ 1.5 \ \ 2 P(X):\ \ k \ \ k^2 \ \ 2k^2 \ \ k then, Find the value of k .

Determine which of the following can be probability distributions of a random variable X : X :\ 0\ 1\ 2\ 3\ \ 4 P(X):\ 0. 1\ \ 0. 5\ 0. 2\ \ -0. 1\ \ 0. 3

If the probability distribution of a random variable X is as given below: X=x_i :\ 1 \ \ 2 \ \ 3 \ \ 4 P(X=x_i):\ c \ \ 2c \ \ 3c \ \ 4c Write the value of P(X lt=2) .

A random varibale X has the following probability distribution. {:(X:,1,2,3,4,5),(P(X):,0,0.1,0.2,0.3,0.4):} Find the mean.

Prove that the following distributions of probability of random variable X are the probability distributions? X :\ 0\ \ 1\ 2\ 3\ \ 4 P(X): 0.1\ \ 0. 5\ \ 0. 2\ \ 0. 1\ \ 0. 1

If the mean of the following distribution is 6, find the value of p. x: 2 4 6 10 p+5 f: 3 2 3 1 2

A random variable X has the following distribution {:(x:,1,2,3,4),(P(X=x):,k^(2),3k^(2),5k^(2),7k^(2)):} The value of k is