Ask a Question

If the probability of a random variable X is a given below : `{:(X=x:,-2,-1,0,1,2,3),(P(X=x):,(1)/(2),k,(1)/(5),2k,(3)/(10),k):}` Then the value of k,

in Education by
If the probability of a random variable X is a given below : X=x: -2 -1 0 1 2 3 P(X=x): 1 2 k 1 5 2k 3 10 k Then the value of k, is : A. 1 10 B. 2 10 C. 3 10 D. 7 10 Select the correct answer from above options

1 Answer

0 votes
by
 
Best answer
Correct Answer - A The given distribution is a probability distribution. ∴P(X=-2)+P(X=-1)+P(X=0)+P(X=1)+P(X=2)+P(X=3)=1 ⇒ 1 10 +k+ 1 5 +2k+ 3 10 +k=1⇒4k= 4 10 ⇒k= 1 10

Related questions

0 votes
Q: A random variable X takes the values `0,1,2,3,...,` with prbability `PX(=x)=k(x+1)((1)/(5))^x`, where k is a constant, then `P(X=0)` is.
    A random variable X takes the values 0,1,2,3,..., with prbability PX(=x)=k(x+1)( 1 5 )x, where k is a ... 16 25 C. 18 25 D. 19 25 Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
Q: The random variable X can take only the values 0, 1, 2. Given that P (X = 0) = P (X = 1) = p and that E(X^2) = E[X], find the value of p.
    The random variable X can take only the values 0, 1, 2. Given that P (X = 0) = P (X = 1) = p and that E ... E[X], find the value of p. Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: Two integers `xa n dy` are chosen with replacement out of the set `{0,1,,2,3 ,10}dot` Then find the probability that `|x-y|> 5.`
    Two integers xandy are chosen with replacement out of the set {0,1,,2,3,10} . Then find the probability that |x-y ... 25 121 D. 20 121 Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: A random variate X takes the values 0, 1, 2, 3 and its mean is 1.3. If `P(X= 3) = 2P(X= 1)` and `P(X= 2) = 0.3`, then `P(X= 0)` is equal to
    A random variate X takes the values 0, 1, 2, 3 and its mean is 1.3. If `P(X= 3) = 2P(X= 1)` and `P(X= 2) = ... `0.2` C. `0.3` D. `0.4` Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
Q: If A and B are two events associated with a random experiment such that `P(A)=0.3,P(B)=0.2" and "P(AcapB)=0.1,` then the value of `P(A∪B)` is ….
    If A and B are two events associated with a random experiment such that P(A)=0.3,P(B)=0.2 and P(A∩B)=0.1, ... the value of P(A∪B) is . Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: A and B are events such that P(A) = 0.4, P(B) = 0.3 and P(A ∪ B) = 0.5. Then P (B′ ∩ A) equals A. 2/3 B. 1/2 C. 3/10 D. 1/5
    A and B are events such that P(A) = 0.4, P(B) = 0.3 and P(A ∪ B) = 0.5. Then P (B′ ∩ A) equals A. 2/3 B. 1/2 C. 3/10 D. 1/5 Select the correct answer from above options...
asked Nov 20, 2021 in Education by JackTerrance
0 votes
Q: If the mean and the variance of a binomial variable X are 2 and 1 respectively, then the probability that X takes a value greater than one is equal to
    If the mean and the variance of a binomial variable X are 2 and 1 respectively, then the probability that X takes a ... 7/8 D. 15/16 Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
Q: If `X and Y` are independent binomial vatiates `B(5,1/2) and B(7,1/2)` and the value of `P(X+Y=3)` is
    If XandY are independent binomial vatiates B(5, 1 2 )andB(7, 1 2 ) and the value of P(X+Y=3) is A. 35/47 ... 1024 C. 220/512 D. 11/204 Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
Q: If `e_(1),e_(2),e_(3)" and "e_(4)` are the four elementary outcomes in a sample space and `P(e_(1))=0.1,P(e_(2))=0.5,"and "P(e_(3))=0.1,` then the pro
    If e1,e2,e3 and e4 are the four elementary outcomes in a sample space and P(e1)=0.1,P(e2)=0.5,and P(e3 ... the probability of e4 is Select the correct answer from above options...
asked Nov 15, 2021 in Education by JackTerrance
0 votes
Q: Suppose a random variable X follows the binomial distribution with parameters n and p, where 0 < p < 1.
    Suppose a random variable X follows the binomial distribution with parameters n and p, where 0 < p < 1. If P(x = r) / ... C. 1/5 D. 1/7 Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance

© Copyright 2018-2023 www.Blogmepost.com. All rights reserved. Developed by Blogmepost.

...