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

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

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Most viewed questions in Probability

1 votes
3 answers
151
What is the probability of getting total of 7 atleast once in 3 tosses of a fair dice... ?
What is the probability of getting total of 7 atleast once in 3 tosses of a fair dice... ?
What is the probability of getting total of 7 atleast once in 3 tosses of a fair dice... ?
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4 votes
3 answers
152
Total probability and Baye's theorem
When we should use Total probability and Baye's Theorem? Explain with examples.
When we should use Total probability and Baye's Theorem? Explain with examples.
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0 votes
1 answer
153
Probability doubt
A box contains 3 coins: two regular coins and one fake two headed P(H )= 1 .you pick up one at random and toss it and gets heads.the probability that it is a two headed coin is....
A box contains 3 coins: two regular coins and one fake two headed P(H )= 1 .you pick up one at random and toss it and gets heads.the probability that it is a two headed c...
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1 votes
2 answers
154
It is known that a bus will arrive at random at a certain location sometime between 3:00 P.M. and 3:30 P.M.
It is known that a bus will arrive at random at a certain location sometime between 3:00 P.M. and 3:30 P.M. A man decides that he will go at random to this location betwe...
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0 votes
0 answers
156
gate calculator 86.4 or 86.5
The probability that the ace of the spades will be drawn from a pack of well-shuffled cards atleast once in 104 consecutive trials is __________. (in % upto 1 decimal place)
The probability that the ace of the spades will be drawn from a pack of well-shuffled cards atleast once in 104 consecutive trials is __________. (in % upto 1 decimal pla...
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18 votes
1 answer
158
probabiltiy
5 integers randomly chosen from 1 to 2015. What is the probability that there is a pair of integers whose difference is a multiple of 4?
5 integers randomly chosen from 1 to 2015. What is the probability that there is a pair of integers whose difference is a multiple of 4?
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0 votes
1 answer
159
Probability that none of men selects his own hat
Suppose that each of N men at a party throws his hat into the center of the room. The hats are first mixed up, and then each man randomly selects a hat. What is the probability that none of the men selects his own hat?
Suppose that each of N men at a party throws his hat into the center of the room.The hats are first mixed up, and then each man randomly selects a hat. What is theprobabi...
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1 votes
1 answer
160
UGC NET CSE | July 2018 | Part 2 | Question: 25
A text is made up of the characters A, B, C, D, E each occurring with the probability 0.08, 0.40, 0.25, 0.15 and 0.12 respectively. The optimal coding will have the average length of 2.4 1.87 3.0 2.15
A text is made up of the characters A, B, C, D, E each occurring with the probability 0.08, 0.40, 0.25, 0.15 and 0.12 respectively. The optimal coding will have the avera...
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0 votes
1 answer
161
ISRO 2012- Probability [Mech]
The probability that A happens is 1/3. the odds against happening A are: a) 2:1 b) 3:2 c) 1:2 d) 2:3
The probability that A happens is 1/3. the odds against happening A are:a) 2:1b) 3:2c) 1:2d) 2:3
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25 votes
7 answers
164
TIFR CSE 2011 | Part A | Question: 19
Three dice are rolled independently. What is the probability that the highest and the lowest value differ by $4$? $\left(\dfrac{1}{3}\right)$ $\left(\dfrac{1}{6}\right)$ $\left(\dfrac{1}{9}\right)$ $\left(\dfrac{5}{18}\right)$ $\left(\dfrac{2}{9}\right)$
Three dice are rolled independently. What is the probability that the highest and the lowest value differ by $4$? $\left(\dfrac{1}{3}\right)$ $\left(\dfrac{1}{6}\righ...
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5 votes
3 answers
166
Expectated no of coin toss
An unbiased coin is tossed repeatedly and outcomes are recorded. What is the expected no of toss to get HT ( one head and one tail consecutively) ?
An unbiased coin is tossed repeatedly and outcomes are recorded. What is the expected no of toss to get HT ( one head and one tail consecutively) ?
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3 votes
1 answer
169
random variables
suppose X and Y are random variables such that E(X)=1 (Y)=2 V(X)=1 V(Y)=2 Cov(X,Y)=1 by using above values following expression are evaluated E(X+2Y)=p EXY)=q Vat(X-2Y+1)=r find pq+r
suppose X and Y are random variables such thatE(X)=1 (Y)=2 V(X)=1 V(Y)=2 Cov(X,Y)=1by using above values following expression are evaluatedE(X+2Y)=pEXY)=qVat(X-2Y+1)=rfin...
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1 votes
0 answers
170
Gate 2009 ece
Assume for simplicity that N people are born in April (month of 30 days) are collected in a room,consider the event of at least two people in the room being born on the same date of month even if in different years i.e 1980 and 1985 what is the smallest N so that the probability exceeds 0.5 is
Assume for simplicity that N people are born in April (month of 30 days) are collected in a room,consider the event of at least two people in the room being born on the ...
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