21 results authored by Alex Van den Hof - search across all users.
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Question in Alex's workspace
There are copious comments in the definition of the function eqnline about the voodoo needed to have a JSXGraph diagram interact with the input box for a part.
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Question in LeicesterPhysPractice
Given a discrete random variable X find the expectation of 1/X and eX.
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Question in LeicesterPhysPractice
The random variable X has a PDF which involves a parameter c. Find the value of c. Find the distribution function FX(x) and P(a<X<b).
Also find the expectation E[X]=∫∞−∞xfX(x)dx.
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Question in LeicesterPhysPractice
Given a probability mass function P(X=i) with outcomes i∈{0,1,2,…8}, find the expectation E and P(X>E).
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Question in LeicesterPhysPractice
Given the PDF for Y∼Exp(λ) find the CDF, P(a≤Y≤b) and E[Y],Var(Y)
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Question in LeicesterPhysPractice
Determine if the following describes a probability mass function.
P(X=x)=ax+bc,x∈S={n1,n2,n3,n4}⊂R.
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Question in LeicesterPhysPractice
Given the pdf f(x)=a−bxc,r≤x≤s,f(x)=0 else, find P(X>p), P(X>q|X>t).
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Question in LeicesterPhysPractice
X∼Binomial(n,p). Find P(X=a), P(X≤b), E[X],Var(X).
rebelmaths
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Question in LeicesterPhysPractice
Application of the Poisson distribution given expected number of events per interval.
Finding probabilities using the Poisson distribution.
rebelmaths
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Question in LeicesterPhysPractice
Elementary Exercises in multiplying matrices.
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Question in LeicesterPhysPractice
A,B 2×2 matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find Bn for largish n.
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Question in LeicesterPhysPractice
Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.
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Question in LeicesterPhysPractice
Find the determinant and inverse of three 2×2 invertible matrices.
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Question in LeicesterPhysPractice
aij notation and definition of the order of a matrix.
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Question in Simon's workspace
A,B 2×2 matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find Bn for largish n.
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Question in Simon's workspace
aij notation and definition of the order of a matrix.
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Question in Simon's workspace
Elementary Exercises in multiplying matrices.
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Question in Simon's workspace
Find the determinant and inverse of three 2×2 invertible matrices.
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Question in Simon's workspace
Solving a system of three linear equations in 3 unknowns using Gauss Elimination in 4 stages. Solutions are all integral.
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Question in Simon's workspace
Multiplying two 2 x 2 matrices.
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Question in Simon's workspace
Multiplication of 2×2 matrices.