Web Page

Syllabus: Random variables, Uniform, Normal, Exponential, Poisson and Binomial distributions. Mean, median, mode and standard deviation. Conditional probability and Bayes theorem

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{2020}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 0 &1&1&0&2&1&1&0&1&1&0&0.8&2
\\\hline\textbf{2 Marks Count} & 0 &2&2&1&1&1&0&3&1&0&0&1.1&3
\\\hline\textbf{Total Marks} & 0 &5&5&2&4&3&1&6&3&1&\bf{0}&\bf{3}&\bf{6}\\\hline
\end{array}}}$$

Hot questions in Probability

0 votes
1 answer
451
Roll a die $12$ times. Compute the probability that a number occurs $6$ times and two other numbers occur three times each.
0 votes
0 answers
452
0 votes
2 answers
453
A man alternately tosses a coin and throws a dice, beginning with the coin. Then probability that he will get a head before he gets a 5 or 6 on dice is1) 1/42) 3/43) 4/54...
0 votes
2 answers
454
Assume that $X$ is Normal with mean $\mu$ $=$ $2$ and variance $\sigma^2$ $=$ $25$. Compute the probability that $X$ is between $1$ and $4$.
0 votes
0 answers
455
1) P(A/B) = P(A $\cap$ B) / P(B)2) P(A/B) = P(B $\cap$ A) / P(B)What is the difference in this equation..P(A $\cap$ B) and P(B $\cap$​​​​​​​ A) are same ??...
0 votes
1 answer
457
A pair of dice rolled together till a sum of either 5 or 7 obtained. find probability that 5 comes before 7.
0 votes
0 answers
458
From a deck of 52 cards, what is the probability of picking 2 kings:a)With replacementB)Without replacement Please explain in details. I am new to probability. Thank you....
2 votes
2 answers
459
What is the difference between Independent Events and Disjoint Events?
0 votes
0 answers
460
0 votes
1 answer
461
1 votes
1 answer
462
In a room of $23$ people what is the probability that $2$ of. them has a birthday in common?
0 votes
0 answers
463
0 votes
1 answer
464
out of 800 families with 5 children each,how many families would be expected to have1. 3boy 2. 2girls
1 votes
1 answer
465
0 votes
1 answer
466
Assume that a light bulb lasts on average $100$ hours. Assuming exponential distribution, compute the probability that it lasts more than $200$ hours and the probability ...
0 votes
1 answer
467
0 votes
1 answer
469
1 votes
0 answers
470
A deck of 52 playing cards is shuffled, and the cards are turned up one at a time untilthe first ace appears. Is the next card—that is, the card following the first ace...