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Recent questions and answers in Probability and Statistics

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1
If the values of two random variables $(X,Y)$ are $(121, 360)$, $(242, 364)$ and $(363, 362)$, the value of correlation coefficient between $X$ and $Y$ (rounded off to one decimal place) is ________.
asked Mar 1 in Probability and Statistics jothee 1.4k points
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A normal random variable has mean equal to $0$, and standard deviation equal to $3$. The probability that on a random draw the value of this random variable is greater than $0$ is __________ (round off to $2$ decimal places).
asked Nov 3, 2020 in Probability and Statistics soujanyareddy13 2.7k points
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For a discrete random variable $X$, $\textit{ran}(X)=\{0,1,2,3\}$ and the cumulative probability $F(X )$ is shown below: $\begin{array}{|c|c|c|c|c|} \hline X & 0 & 1 & 2 & 3 \\ \hline F(X) & 0.5 & 0.6 & 0.8 & 1.0 \\ \hline \end{array}$The mean value of $X$ is ___________
asked Mar 26, 2018 in Probability and Statistics Milicevic3306 7.9k points
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Consider the data set $14, 18, 14, 14, 10, 29, 33, 31, 25$. If you add $20$ to each of the values, then both mean and variance change both mean and variance are unchanged the mean is unchanged, variance changes the mean changes, the variance is unchanged
asked Mar 25, 2018 in Probability and Statistics Milicevic3306 7.9k points
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9
A disease is inherited by a child with a probability of $1/4$. In a family with two children, the probability that exactly one sibling is affected by this disease is $1/4$ $3/8$ $7/16$ $9/16$
asked Mar 25, 2018 in Probability and Statistics Milicevic3306 7.9k points
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10
The probability distribution for a discrete random variable $X$ is given below. $\begin{array}{|c|c|c|c|c|} \hline X & 1 & 2 & 3 & 4 \\ \hline P(X) & 0.3 & 0.4 & 0.2 & 0.1 \\ \hline \end{array}$The expectation value of $X$ is (up to one decimal place) _____________
asked Feb 20, 2018 in Probability and Statistics gatecse 1.4k points
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11
The variable $z$ has a standard normal distribution. If $P(0 \leq z \leq 1)= 0.34$ then $P(z^2 > 1)$ is equal to (up to two decimal places) ____________
asked Feb 20, 2018 in Probability and Statistics gatecse 1.4k points
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12
Standard error is the probability of a type I error in a statistical test the error in estimating a sample standard deviation the standard deviation of a variable that follows standard normal distribution the standard deviation of distribution of sample means
asked Feb 20, 2018 in Probability and Statistics gatecse 1.4k points
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13
Consider an unfair coin. The probability of getting heads is $0.6$. If you toss this coin twice, what is the probability that the fast or the second toss is heads? $0.56$ $0.64$ $0.84$ $0.96$
asked Feb 20, 2018 in Probability and Statistics gatecse 1.4k points
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