Probability questions
692 published questions with worked solutions.
- If X B (8, 12 ), then P(|x-4| 2)=
- A family with three children is chosen at random. The probability that the oldest and youngest children are of the same gender is
- Following is the probability distribution of smart phones sold in a shop per day Number of smart phones: 0, 1, 2, 3, 4, 5...
- In a Binominal distribution n = 4 and 2 P (X = 3) = 3 P (X = 2), then q =
- If the function P[X=x]= cases K 2^x x! , & x=0,1,2,3 0, & otherwise cases forms p.m.f., then value of K is
- There are 2 shelves. One shelf has 5 Physics and 3 Biology books and other has 4 Physics and 2 Biology books. Then the...
- For a Binomial distribution, n = 6, if 9 P (X = 4) = P (X = 2), then q =
- Five letters are placed at random in five addressed envelopes. The probability that all the letters are not dispatched in the...
- A random variable X has the following probability distribution X: 0, 1, 2, 3, 4, 5, 6 P(X): k, 3k, 5k, 7k, 9k, 11k, 13k then P(X...
- A die is thrown five time. If getting an odd number is a success, then the probability of getting at least 4 successes is
- A bag contains 5 red balls and 3 green balls. A ball is selected at random and not replaced. A second ball is then selected. The...
- A random variable X has the following probability distribution X: 8, 12, 16, 20, 24 P(X): K, 1/6, 3/8, 2K, 1/12 Then the value of...
- A bag contains 4 red and 3 black balls. One ball is drawn and then replaced in the bag and the process is repeated. Let X denote...
- It is observed that 30% of the students appearing for a certain entrance test are science student. If 5 students are randomly...
- If three distinct number are chosen randomly from first 100 natural numbers, then the probability that all three of them are...
- If the p.m.f. of a discrete random variable X is P(X=x)= C x^3 , x = 1, 2, 3 = 0, otherwise then E(X) is equal to
- One coin is thrown 100 times, then the probability of getting head in odd number is
- One ticket is selected at random from 50 tickets numbered 00, 01, 02, , 49 . Then the probability that the sum of the digits on...
- A problem in statistics is given to three students A, B and C. Their probabilities of solving the problem are 1 2 , 1 3 and 1 4...
- Two cards are drawn successively with replacement from a well shuffled pack of 52 cards, then mean of number of queens is
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