Probability questions
692 published questions with worked solutions.
- If f(x)= cases 3(1-2x^2);&0<x<1 0;&otherwise cases is a probability density function of X, then P ( 14<x< 13 ) is
- The probability that event A happens in a trial is 0.4. If three independent trials are made, then the probability that A happens...
- If 6 boys and 3 girls are to be seated in a row for a photograph, then the probability that the end seats are occupied by the...
- If A and B are two events such that P(A)= 23, P(B)= 12 and P(A|B)= 23, then P(A' B)+P(A B')=
- For the probability distribution x : 0, 1, 2, 3, 4, 5 p(x) : k, 0.3, 0.15, 0.15, 0.1, 2k The Expected value of X is
- A random variable X has the following probability distribution. X : 1, 2, 3, 4, 5 p(x) : k^ 2 , 2k, k, 2k, 5k^ 2 Then p(x 2) is...
- The probability, that a year selected at random will have 53 Mondays, is
- A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The...
- If E_1 and E_2 are equally likely, mutually exclusive and exhaustive events and P(A|E_1) = 0.2, P(A|E_2) = 0.3, then P(E_1|A)...
- If a fair coin is tossed 8 times, then the probability of getting at most 2 heads is...
- Two dice are thrown successively 4 times and getting a doublet is called a success. The probability of getting at least 1 success...
- The probability distribution of a random variable X is given by X = x: 1, 2, 3, 4 P(X = x): k, 2k, 3k, 4k Then the c.d.f. of X is...
- A random variable X has the probability distribution X = x: 1, 2, 3, 4, 5, 6, 7, 8 P (X = x): 0.23, 0.15, 0.12, 0.10, 0.20, 0.07,...
- Three ships A, B, C sail from England to India. If the odds in favour of their safe arrival are 2:5, 3:7 and 6:11 respectively,...
- A fair die is thrown at random. Let A be the event that the number obtained on the die is a non-even prime number and B be the...
- If a discrete random variable X is defined as follows P[X = x] = cases k(x+1) 5^x , & if x = 0, 1, 2, 0, & Otherwise cases then k...
- Numbers are selected at random, one at a time from two digit numbers 10, 11, 12, , 99 with replacement. An event E occurs if and...
- Two friends A and B apply for a job in the same company. The probabilities of A getting selected is 2 5 and that of B is 4 7 ....
- If a random variable X has the following probability distribution values X : 0, 1, 2, 3, 4, 5, 6, 7 P(X) : 0, k, 2k, 2k, 3k, K^2,...
- A random variable X takes the value 0, 1, 2, 3 and its mean is 1·3. If P (X=3) = 2 P (X=1) and P(X=2) = 0·3, then P (X=0) is
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