Probability questions
692 published questions with worked solutions.
- The probability that a certain kind of component will survive a given test is 2 3 . The probability that at most 2 components out...
- A coin is tossed until one head appears or a tail appears 4 times in succession. The probability distribution of the number of...
- If X B (6, 1 2 ), then P(|X-2| 1)=
- If A and B are independent events such that P(A B')= 13 25 and P(A' B)= 13 25 , then P(A)=
- A fair coin is tossed 100 times. The chance of getting a head even number of times is
- Let mean and standard deviation of probability distribution X = x: -3, 0, 1, P(X = x): 14, K, 14, 13 be and respectively and if -...
- Bag I contains 3 red and 2 green balls and Bag II contains 5 red and 3 green balls. A ball is drawn from one of the bag at random...
- A doctor assumes that patient has one of three diseases d1, d2 or d3. Before any test he assumes an equal probability for each...
- The probability that a student is not a swimmer is 1 5 . The probability that out of 5 students selected at random 4 are swimmers...
- Consider the probability distribution X: 1, 2, 3, 4, 5 P(X = x): K, 2K, K², 2K, 5K² Then the value of P (X>2) is
- Let X denote the number of hours you study on a Sunday. It is known that P(X=x)= cases 0.1, & if x=0 kx, & if x=1 or 2 k(5-x), &...
- A pair of fair dice is thrown 4 times. If getting the same number on both dice is considered as a success, then the probability...
- A family has 3 children. The probability that all the three children are girls, given that at least one of them is a girl is
- If a random variable X has the following probability distribution of X X=x: 0, 1, 2, 3, 4, 5, 6, 7 P(X=x): 0, k, 2k, 2k, 3k, k^2,...
- The probability that a non leap years selected at random will contain 52 Saturdays or 53 Sundays is
- A random variable X has the following probability distribution: X = x: 1, 2, 3, 4 P(X=x): 0.1, 0.2, 0.3, 0.4 The mean and...
- The probability that a person is not a sportsperson is 1 6 . Then the probability that out of the 6 members of the family, 5 are...
- The cumulative distribution function of a discrete random variable X is X = x: -4, -2, 0, 2, 4, 6, 8, 10 F(X = x): 0.1, 0.3, 0.5,...
- The following is p.d.f. of continuous random variable X f(x)= cases x8, & if 0<x<4 0, & otherwise cases Then F (0.5), F(1.7) and...
- Three numbers are chosen at random from numbers 1 to 20. The probability that they are consecutive is
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