Recent questions tagged probability

1 votes
1 answer
782
Let $X_1$, $X_2$, $X_3$, and $X_4$ be independent normal random variables with zero mean and unit variance. The probability that $X_4$ is the smallest among the four is _...
0 votes
1 answer
784
0 votes
0 answers
793
Which of the following is false?1. P(A ^ B) >= P(A) + P(B) - 12. If P(B) 0 then P(A/B) >= P(A)Answer with a reason for both options.
2 votes
2 answers
794
What is the difference between Independent Events and Disjoint Events?
2 votes
0 answers
796
Is my solution right? Kindly help.. thanks
1 votes
1 answer
798
Pr( Z 0 ) = ??How to calculate it? Ans is 0.5. Do we use standard normal variate(Z) table? Do GATE provide such table?
3 votes
0 answers
801
The keys 1,2,3,.., n are inserted randomly into a binary search tree. What is the probability that subtree of root contains exactly n-2 keys ?A. 1/n2B. 1/nC. 1/(n+1)D. (...
1 votes
1 answer
803
5 votes
0 answers
806
Consider a hash table with 10 slots. Collisions are resolved using linear probing. The probability that if first 3 slots are unfilled and 4th insertions leads to a collis...
3 votes
0 answers
809
A fair die is rolled thrice and the random variable X records the number of different outcomes that result. For example, if two 6's and one 3's are rolled, then X records...
1 votes
0 answers
810
An unbiased coin is tossed repeatedly until the outcome of two successive tosses is the same. Assuming that the trials are independent, the expected number of tosses is _...