Probability questions
692 published questions with worked solutions.
- In a Binomial distribution with n = 4, if 2P(X = 3) = 3P(X =2), then the variance is
- The probability mass function of random variable X is given by P[X=r]= cases ^nC_r 32 , & n,r IN [2mm] 0, & otherwise, cases Then...
- Four persons can hit a target correctly with probabilities 1 2 , 1 3 , 1 4 and 1 5 respectively. If all hit at the target...
- If the mean and the variance of a Binomial variate X are 2 and 1 respectively, then the probability that X takes a value greater...
- A bag contains 4 red and 3 black balls is. One ball is drawn and then replaced in the bag and the process is repeated. Let X...
- If X is a random variable with distribution given below X = x_i : 0, 1, 2, 3 p(X = x_i) : k, 3k, 3k, K Then the value of k and...
- A random variable X takes values -1,0,1,2 with probabilities 1+3p 4 , 1-p 4 , 1+2p 4 , 1-4p 4 respectively, where p varies over...
- If the mean and the variance of a Binomial variance X are 2 and 1 respectively, then the probability that X takes a value greater...
- The three ships namely A, B and C sail from India to Africa. If the odds in favour of the ships reaching safely are 2:5, 3:7 and...
- If the sum of mean and variance of Binomial Distribution is 15 2 for 10 trials, then the variance is
- A fair die is tossed twice in succession. If X denotes the number of sixes in two tosses, then the probability distribution of X...
- For a binominal variate X with n = 6 if P(X = 4) = 135 2^ 12 then its variance is
- The p.d.f. of a discrete random variable is defined as f(x)= cases kx^2, & 0 x 6 0, & otherwise cases Then the value of F (4)...
- Three critics review a book. For the three critics the odds in favor of the book are 2 : 5, 3 : 4 and 4 : 3 respectively. The...
- Suppose three coins are tossed simultaneously. If X denotes the number of heads, then probability distribution of X is
- If two fair dice are rolled, then the probability that the sum of the numbers on the upper faces is at least 9, is
- In a Binomial distribution consisting of 5 independent trials, probabilities of exactly 1 and 2 successes are 0.4096 and 0.2048...
- There are three events A, B, C, one of which must and only one can happen. The odds are 8 : 3 against A, 5 : 2 against B and the...
- A coin is tossed twice in succession. Let X represent the number of tails in two tosses, then the probability distribution of X...
- A fair die is tossed twice in succession. If X denotes the number of sixes in two tosses, then the probability distribution of X...
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