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Show that \(\operatorname{trace}(A B C)=\operatorname{trace}(C A B)=\operatorname{trace}(B C A)\).
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Show that \(\operatorname{trace}(A B C)=\operatorname{trace}(C A B)=\operatorname{trace}(B C A)\).Let \(A, B\), and \(C\) be any \(n \times n\) matrices. a) Show that \(\operatorname{trace}(A B)=\operatorname{trace}(B A)\). b) Show that \(\operator ...
by MathsGee Platinum
(104,036 points)
asked in Mathematics 49 minutes ago
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What is sampling error?
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What is sampling error?What is sampling error? ...
by Pieter SIlver Status
(18,309 points)
asked in Data Science & Statistics Jan 12
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What is a control variable?
1 answer 4 views
What is a control variable?What is a control variable? ...
by Pieter SIlver Status
(18,309 points)
asked in Data Science & Statistics Jan 12
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What is the difference between confounding variables, independent variables and dependent variables?

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What are independent / dependent variables?
1 answer 13 views
What are independent / dependent variables?What are independent / dependent variables? ...
by Pieter SIlver Status
(18,309 points)
asked in Data Science & Statistics Jan 8
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Give some useful properties of normally distributed random variables
1 answer 28 views
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Give an example of a continuous random variable
1 answer 41 views
Give an example of a continuous random variableGive an example of a continuous random variable ...
by Pieter SIlver Status
(18,309 points)
asked in Data Science & Statistics Dec 16, 2021
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When is X a continuous random variable?
1 answer 41 views
When is X a continuous random variable?When is X a continuous random variable? ...
by Pieter SIlver Status
(18,309 points)
asked in Data Science & Statistics Dec 16, 2021
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When is a random variable X called discrete?
1 answer 34 views
When is a random variable X called discrete?When is a random variable X called discrete? ...
by Pieter SIlver Status
(18,309 points)
asked in Data Science & Statistics Dec 16, 2021
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What are independent random variable in statistics?
1 answer 43 views
What are independent random variable in statistics?What are independent random variable in statistics? ...
by Pieter SIlver Status
(18,309 points)
asked in Data Science & Statistics Dec 16, 2021
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What is a random variable in statistics?
1 answer 32 views
What is a random variable in statistics?What is a random variable in statistics? ...
by Pieter SIlver Status
(18,309 points)
asked in Data Science & Statistics Dec 16, 2021
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If \(X\) and \(Y\) are independent random variables, then \[ \operatorname{Var}(X+Y)=\operatorname{Var}(X)+\operatorname{Var}(Y) \]
1 answer 36 views
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Prove that if \(X\) is a random variable with mean \(E X\) and \(c \in\) is \(a\) real number, then \(\operatorname{Var}(X)=E\left(X^{2}\right)-E(X)\)

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Prove that if \(X\) is a random variable with mean \(E X\) and \(c \in\) is \(a\) real number, then \(\operatorname{Var}(c X)=c^{2} \operatorname{Var}(X)\)

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Prove that if \(X\) is a random variable with mean \(E X\) and \(c \in\) is \(a\) real number, then \(\operatorname{Var}(X) \geq 0\).
1 answer 31 views
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Susan has a bag of sweets containing 7 chocolates and 5 toffees. Ahmad has a bag of sweets containing 3 chocolates, 4 toffees and 2 boiled sweets.

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Find the probability that at least 2 of these newspapers are delivered to houses with numbers greater than 14 .
0 answers 31 views
Find the probability that at least 2 of these newspapers are delivered to houses with numbers greater than 14 .The 12 houses on one side of a street are numbered with even numbers starting at 2 and going up to 24. A free newspaper is delivered on Monday to 3 di ...
by MathsGee Platinum
(104,036 points)
asked in Data Science & Statistics Oct 13, 2021
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What is meant by Non-probability sampling methods?
0 answers 35 views
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Define sampling.
0 answers 20 views
Define sampling.Define sampling. ...
by MathsGee Platinum
(104,036 points)
asked in Data Science & Statistics Oct 6, 2021
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What is a symmetric random variable?
1 answer 42 views
What is a symmetric random variable?What is a symmetric random variable? ...
by MathsGee Platinum
(104,036 points)
asked in Data Science & Statistics Sep 21, 2021
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State the Hoeffding inequality for bounded independent random variables
1 answer 42 views
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When is a random variable stable?
1 answer 24 views
When is a random variable stable?When is a random variable stable? ...
by MathsGee Platinum
(104,036 points)
asked in Data Science & Statistics Sep 21, 2021
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What is an infinitely divisible random variable?
1 answer 44 views
What is an infinitely divisible random variable?What is an infinitely divisible random variable? ...
by MathsGee Platinum
(104,036 points)
asked in Data Science & Statistics Sep 21, 2021
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What is a Gumbel random variable?
1 answer 21 views
What is a Gumbel random variable?What is a Gumbel random variable? ...
by MathsGee Platinum
(104,036 points)
asked in Data Science & Statistics Sep 21, 2021
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What is the Expectation of a non negative random variable?
1 answer 69 views
What is the Expectation of a non negative random variable?What is the Expectation of a non negative random variable? ...
by MathsGee Platinum
(104,036 points)
asked in Data Science & Statistics Sep 21, 2021
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