Probability questions
692 published questions with worked solutions.
- If X is a binomial variable with range 0, 1, 2, 3, 4 and P(X = 3) = 3P(X = 4) then the parameter 'p' of the binomial distribution...
- A random variable X has the following probability distribution X: 0, 1, 2, 3, 4 P(X): k, 2k, 4k, 2k, k then the value of P(1 X <...
- If two numbers p and q are chosen randomly from the set 1, 2, 3, 4 , one by one, with replacement, then the probability of...
- For the following probability distribution of a random variable X, the Expected value and Variance of X are respectively X=x: 1,...
- Four cards are drawn successively with replacement from well shuffled deck of 52 cards, then the probability that only two cards...
- In a certain city, the ratio of men to women is 5:4. It is found that 80% of men and 90% of women are literate. If a person...
- Let X be a continuous random variable with the probability density function (p.d.f.) given by f(x)= cases kx,&0 x<1 ,&1 x<2...
- A random variable X B(n,p) follows a binomial distribution with n=6. If 9P(X=4)=P(X=2), then the probability of success p is…
- If A, B, C are mutually exclusive and exhaustive events of a sample space S such that P(B)= 32P(A) and P(C)= 12P(B), then P(A)=
- Numbers are selected at random, one at a time from the two-digit numbers 00, 01, 02, , 99 with replacement. An event E occurs...
- The c.d.f. of a discrete random variable X is X: -3, -1, 0, 1, 3, 5, 7, 9 F(X=x): 0.1, 0.3, 0.5, 0.65, 0.75, 0.85, 0.90, 1 Then...
- If a random variable X follows the Binomial distribution B(10, p) such that 5P(X = 0) = P(X = 1), then the value of P(X = 5) P(X...
- The following is the probability distribution of X X: 0, 1, 2, 3 P(X = x): 1+p 5 , 2-2p 5 , 2-p 5 , 2p 5 For a minimum value of p...
- A random variable X takes values 0, 1, 2, 3, with probabilities P(X = x) = k(x+1) ( 1 2 )^x, k is a constant, then P(X = 1) =
- The probability that in a random arrangement of the letters of the word 'UNIVERSITY', the two 'I's do not come together is
- If a random variable X has p.d.f. f(x)= cases ax^2 2 +bx, & if 1 x 3 0, & otherwise cases and f(2) = 2, then the values of a and...
- Three urns respectively contain 2 white and 3 black, 3 white and 2 black and 1 white and 4 black balls. If one ball is drawn from...
- In a box containing 100 apples, 10 are defective. The probability that in a sample of 6 apples, 3 are defective is
- Four defective oranges are accidentally mixed with sixteen good ones. Three oranges are drawn from the mixed lot. The probability...
- The p.d.f. of a continuous random variable X is f(x)= cases x^ 2 18 & if -3<x<3 0 & otherwise cases Then P[|X|<2]=
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