# Recent questions tagged prove

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Prove that $A \cup A=A$
Prove that $A \cup A=A$Prove that $A \cup A=A$ ...
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Prove Gibb's lemma
Prove Gibb's lemma(Gibb's Lemma). Assume $\left(p_{1}, \ldots, p_{m}\right)$ is probability distribution and let $\left(r_{1}, \ldots, r_{m}\right)$ be such that $... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Prove the following theorem: 1 answer 16 views Prove the following theorem:Prove the following theorem: Let \(n$ and $m$ be integers. Then i. if $n$ and $m$ are both even, then $n+m$ is even, ii. if $n$ and $m$ ...
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What is a random variable in statistics?
What is a random variable in statistics?What is a random variable in statistics? ...
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Prove Bayes Rule
Prove Bayes RuleProve Bayes Rule (Bayes Rule). Let $A$ and $B$ be two subsets of our sample space $\Omega$. Then \ P(A \mid B)=\frac{P(B \mid A) P(A)}{P(B)} \ ...
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Prove Chebyschev’s inequality
Prove Chebyschev’s inequalityProve Chebyschev&amp;rsquo;s inequality (Chebyschev's inequality). Let $X$ be a random variable. Then \ P(|X-E X|&gt;\epsilon) \leq \frac{\operato ...
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Prove Markov’s inequality.
Prove Markov’s inequality.Prove (Markov's inequality). Suppose $X$ is a nonnegative random variable and $a \in$ is a positive constant. Then \ P(X \geq a) \leq \frac{E X} ...
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If $X$ and $Y$ are independent random variables, then $\operatorname{Var}(X+Y)=\operatorname{Var}(X)+\operatorname{Var}(Y)$
If $X$ and $Y$ are independent random variables, then $\operatorname{Var}(X+Y)=\operatorname{Var}(X)+\operatorname{Var}(Y)$If $X$ and $Y$ are independent random variables, then \ \operatorname{Var}(X+Y)=\operatorname{Var}(X)+\operatorname{Var}(Y) \ ...
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Prove that if $X$ is a random variable with mean $E X$ and $c \in$ is $a$ real number, then $\operatorname{Var}(X)=E\left(X^{2}\right)-E(X)$
Prove that if $X$ is a random variable with mean $E X$ and $c \in$ is $a$ real number, then $\operatorname{Var}(X)=E\left(X^{2}\right)-E(X)$Prove that if $X$ is a random variable with mean $E X$ and $c \in$ is $a$ real number, then $\operatorname{Var}(X)=E\left(X^{2}\right)-E(X)$ ...
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Prove that if $X$ is a random variable with mean $E X$ and $c \in$ is $a$ real number, then $\operatorname{Var}(c X)=c^{2} \operatorname{Var}(X)$
Prove that if $X$ is a random variable with mean $E X$ and $c \in$ is $a$ real number, then $\operatorname{Var}(c X)=c^{2} \operatorname{Var}(X)$Prove that if $X$ is a random variable with mean $E X$ and $c \in$ is $a$ real number, then $\operatorname{Var}(c X)=c^{2} \operatorname{Var} ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Prove that if \(X$ is a random variable with mean $E X$ and $c \in$ is $a$ real number, then $\operatorname{Var}(X) \geq 0$.
Prove that if $X$ is a random variable with mean $E X$ and $c \in$ is $a$ real number, then $\operatorname{Var}(X) \geq 0$.Prove that if $X$ is a random variable with mean $E X$ and $c \in$ is $a$ real number, then $\operatorname{Var}(X) \geq 0$. ...
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Prove that, for all values of $x$, $x^{2}+4 x+12>x+3$
Prove that, for all values of $x$, $x^{2}+4 x+12>x+3$Prove that, for all values of $x$, \ x^{2}+4 x+12&gt;x+3 \ ...
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Prove the following
Prove the followingProve that $cos(x+y) \cdot cos(x-y) = cos^2x-sin^2y$ ...
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Prove the following trig identity
Prove the following trig identityProve the identity: $\frac{1}{cos \theta}- \frac{cos \theta}{1+ sin \theta} = tan \theta$ ...
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Maximum value
Maximum valueShow that the maximum value of $\sqrt{-x^2+4x+12}$ is $4$ ...
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Determine if $a_{n}=1-1.1+1.11-1.111+1.1111-\ldots$ converges and find the sums when they exist?
Determine if $a_{n}=1-1.1+1.11-1.111+1.1111-\ldots$ converges and find the sums when they exist?Determine if $a_{n}=1-1.1+1.11-1.111+1.1111-\ldots$ converges and find the sums when they exist? ...
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Prove the martingale convergence theorem
Prove the martingale convergence theoremProve the martingale convergence theorem ...
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Prove the Prohorov inequality
Prove the Prohorov inequalityProve the Prohorov inequality ...
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Prove Kolmogorov's inequality
Prove Kolmogorov's inequalityProve Kolmogorov's inequality ...
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Prove the Chernoff-Cramer bound
Prove the Chernoff-Cramer boundProve the Chernoff-Cramer bound ...
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Prove the Bernstein inequalities
Prove the Bernstein inequalitiesProve the Bernstein inequalities ...
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Prove the Bennett inequality
Prove the Bennett inequalityProve the Bennett inequality ...
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What is the radian measure of a circle?
Given that $\sin x=\frac{5}{13}$ and $\sin y=\frac{8}{17}$, where $x$ and $y$ are acute, find $\cos (x+y)$
Given that $\sin x=\frac{5}{13}$ and $\sin y=\frac{8}{17}$, where $x$ and $y$ are acute, find $\cos (x+y)$Given that $\sin x=\frac{5}{13}$ and $\sin y=\frac{8}{17}$, where $x$ and $y$ are acute, find $\cos (x+y)$ A. $\frac{130}{221}$ B. $\fra ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Complete the square for \(3 x^{2}+5 x+4$
Complete the square for $3 x^{2}+5 x+4$Complete the square for $3 x^{2}+5 x+4$ ...