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The Number of accidents in a year attributed to taxi driver in a city follows poison distribution with mean 3.out of 1000 taxi drivers ,find approximately the number of drivers with
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Let x be continous Random variable with probability distribution $p(X=x) = \begin{cases} \frac{x}{6}+k, \ if \ & 0 \leq x\leq3 \\ 0, & elsewhere \end{cases}$. evaluate K and find P(1$\le x\le 2)$
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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The marks obtained by 1000 students in an examination are found to be normally distributed with mean 70 and standard deviation 5.estimate the number of students whose marks will be between 60to70,>75
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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A transmission channel has a per digit error probability p=0.01.Calculate the probability of more than 1 error in 10 received digit using 1) Binomial 2) Poison Distribution
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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A random variable X has the following density function,, $f(x)=\{_{0,x<0}^ {2e^{-2x}, x>0}$ find the M.g.f.& hence its mean and variance..
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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A random variable X has the following probability mass distribution
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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$A=\begin{bmatrix} 1 & 0 & 0 \\ 1 & 0 & 1 \\ 0& 1 & 0 \end{bmatrix} find A^{50}$
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Verify cayley-Verify cayley-hamilton Theorem and Find $A^{-1}$ for $A=\begin{bmatrix} 1 & 4 \\ 2 & 3 \\ \end{bmatrix}$ Hence Find $A^5-4A^4-7A^3+11A^2-A-10I$ in terms of A.
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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If $A=\begin{bmatrix} 2 & 4 \\ 0 & 3 \end{bmatrix}$ then find the eigen values of $6A^{-1}+A^3+2I$
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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S.T.$A=\begin{bmatrix} 4 & -2 & 2 \\ 6 & -3 & 4 \\ 3 & -2 & 3 \end{bmatrix}$ is derogatory find its Minimal polynomial.
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Verify caylay hamilton theorem for matrix A and hence find $A^{-1}$ if it exists where $A=\begin{bmatrix} 0 &c & -b \\ -c & 0& a \\ b & -a & 0 \end{bmatrix}$
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Show that the matrix A is diagonalizable. Also find the transforming matrix and the diagonal matrix where $A=\begin{bmatrix} 4 & 1 & -1 \\ 2 & 5 & -2 \\ 1 & 1 & 2 \end{bmatrix}$
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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If $\lambda_1,\lambda_2...\lambda_n$ are eigen values of A then show that $\frac{1}{\Lambda_1} ,\frac{1}{\lambda_2}...$Are eigen values of $A^{-1}$
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Show that the matrix $A = \begin{bmatrix} 7 & 4 & -1 \\ 4 & 7 & -1 \\ -4 & -4 & -4 \end{bmatrix}$ is derogatory
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Show that the matrix A is diagonalizable, find its diagonal form and transforming matrix, if $$A= \begin{bmatrix} -9 & 4 & 4 \\ -8 & 3 & 4 \\ -16 & 8 & 7 \\ \end{bmatrix}$$
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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State Cayley - Hamilton Theorem, hence deduce that $A^8 = 6251$ where $A = \begin{bmatrix} 1 & 2 \\ 2 & -1 \end{bmatrix}$
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Prove that eigen values of Hermitian matrix are real
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Express P(x) = $7+8x+9x^2$ as a linear combination of $P_1(x)=2+x+4x^2,P_2(x)=1-x+3x^2,P_3(x)=2+x+5x^2$
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Find a vector orthogonal to both of u=(-6,4,2) , v=(3,1,5)
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Let $R^3$ have the euclidian linear product use grame-schmidt process to transform the bias basis ${u_1,u_2,u_3}$in to an orthogonal basis where $u_1=(1,,1,1),u_2=(-1,1,0),u_3=(1,2,1)$
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Let V= $R^3$ show that W is a subspace of $R^3$ where W={(a,b,c)=a+b+c=0},that is W consist of all vectors where the sum of their component is zero.
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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State Cauchy- Shwartz Inequality in $R^3$ and verify it for u =(-4,2,1) and v = (8,-4,-2)
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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State and prove Cauchy - Schwartz inequality verify the inequality for vectors V = (-4,2,1) and V = (8,-4,-2)
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Find an orthogonal basis for the subspaces of $R^3$ by applying Gram-Schmidt process where S = {(1,2,0), (0,3,1)}
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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Construct an orthonormal basis or $R^2$ by applying Gram Schmidt orthogonalization to S = {[3,1], [2,2]}
engineering mathematics updated 5.7 years ago by teamques10 ★ 70k
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