Ask a Question

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

in Education by
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. `0.1` B. `0.2` C. `0.3` D. `0.4` Select the correct answer from above options

1 Answer

0 votes
by
 
Best answer
Correct Answer - D We have, `P(X=0)+P(X=1)+P(X=2)+P(X=3)=1` and, `0xxP(X=0)+1xxP(X=1)+2xxP(X=2)+ 3xxP(X=3)=1.3` `P(X=0)+3P(X=1)=0.7 and, 7 P(X=1)=0.7` `P(X=0) +3P(X=1) =0.7 and P(X=1)=0.1` `P(X=0)=0.4`

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: 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 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,
    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 ... B. 2 10 C. 3 10 D. 7 10 Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
Q: If `P(A cap B)=(1)/(2), P(overline(A) cap overline(B))=(1)/(2)` and 2P(A)=P(B)=p, then the value of p is equal to
    If P(A∩B)= 1 2 ,P( ˉ A ∩ ˉ B )= 1 2 and 2P(A)=P(B)=p, then the value of p is equal to A. 1 2 B. 2 3 C. 1 4 D. 1 3 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: 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: If X is a binomial variate with parameters n and p, where `0gt pgt` such that `(P(X=r))/(P(X=n-r))` is independent of n and r, then p equals.
    If X is a binomial variate with parameters n and p, where 0>p> such that P(X=r) P(X=n-r) is independent of n ... . 1/4 D. none of these Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
Q: 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 followin
    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: `k` ii. `P(X...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
Q: If A, B and C are three independent events such that P(A) = P(B) = P(C) = p, then P (At least two of A, B, C occur) = 3p^2 – 2p^3
    State True or False for the statements: If A, B and C are three independent events such that P(A) = P(B) = P( ... C occur) = 3p2 - 2p3 Select the correct answer from above options...
asked Nov 19, 2021 in Education by JackTerrance
0 votes
Q: A and B are two events such that odds odds against A are 2 : 1 odds in favour of `A cup B` are 3 : 1. If `x le P(B) le y`, then the ordered pair (x, y
    A and B are two events such that odds odds against A are 2 : 1 odds in favour of A∪B are 3 : 1. If x≤P(B)≤y ... 3,3/4) D. none of these Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
Q: If X and Y are two events such that `PX//Y)=(1)/(2), P(Y//X)=(1)/(3)` and `P(XcapY)(1)/(6)`. Then, which of the following is/are correct ?
    If X and Y are two events such that PX/Y)= 1 2 ,P(Y/X)= 1 3 and P(X∩Y) 1 6 . Then, which of the ... 1 6 D. X and Y are not independent Select the correct answer from above options...
asked Nov 16, 2021 in Education by JackTerrance
0 votes
Q: If P(S) = 0.3, P(T ) = 0.4 and S and T are independent events, then P(S/T) is equal to
    If P(S) = 0.3, P(T ) = 0.4 and S and T are independent events, then P(S/T) is equal to (a) 0.12 (b) 0.2 (c) 0.3 (d) 0.4 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.

...