Recent questions and answers in Probability and Statistics - GO Electronics

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GATE2016 EC-3: 3
The probability of getting a “head” in a single toss of a biased coin is 0.3. The coin is tossed repeatedly till a “head” is obtained. If the tosses are independent, then the probability of getting “head” for the first time in the fifth toss is _________

asked Nov 21, 2019 in Probability and Statistics by KUSHAGRA गुप्ता (260 points)

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2

GATE2009 EC: 11
A fair coin is tossed 10 times. What is the probability that ONLY the first two tosses will yield heads. (A) $\left(\dfrac{1}{2}\right)^{2}$ (B) $^{10}C_2\left(\dfrac{1}{2}\right)^{2}$ (C) $\left(\dfrac{1}{2}\right)^{10}$ (D) $^{10}C_2\left(\dfrac{1}{2}\right)^{10}$

asked Nov 21, 2019 in Probability and Statistics by KUSHAGRA गुप्ता (260 points)

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3

GATE2013-26
Let $U$ and $V$ be two independent zero mean Gaussian random variables of variances $\dfrac{1}{4}$ and $\dfrac{1}{9}$ respectively. The probability $P(3V\geq 2U)$ is $4/9$ $1/2$ $2/3$ $5/9$

asked Mar 26, 2018 in Probability and Statistics by Milicevic3306 (15.7k points)

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GATE2017 EC-2: 29
Passengers try repeatedly to get a seat reservation in any train running between two stations until they are successful. If there is $40 \%$ chance of getting reservation in any attempt by a passenger, then the average number of attempts that passengers need to make to get a seat reserved is __________

asked Nov 23, 2017 in Probability and Statistics by admin (2.8k points)

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5

GATE2017 EC-2: 22
Consider the random process $X(t)=U+Vt,$ Where $U$ is a zero-mean Gaussian random variable and V is a random variable uniformly distributed between $0$ and $2$. Assume that $U$ and $V$ are statistically independent. The mean value of the random process at $t = 2$ is ________

asked Nov 23, 2017 in Probability and Statistics by admin (2.8k points)

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6

GATE2017 EC-1: 4
Three fair cubical dice are thrown simultaneously . The probability that all three dice have the same number of dots on the faces showing up is (up to third decimal place)________.

asked Nov 17, 2017 in Probability and Statistics by admin (2.8k points)

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