1. The sum of two exponential random variables: 1.1 The standard exponential random variable has R name exp and pdf f₁(x) = exp(-x). Use the command curve(dexp, 0, 5) to plot this pdf from 0 to 5. 1.2 The sum of two independent exponential random variables has pdf f₂(x) = x exp(-x). Use f2=function(x){x*exp(-x)} to define this function in R and use the curve command to plot it from 0 to 7. 1.3 Generate a 2x10,000 matrix whose entries are random numbers generated from the standard exponential distribution. a) Make a histogram of the first row and check if this matches the plot of f₁. b) Make a histogram of the sum of the first two rows and check if it matches the plot of f₂.

Q: a a-b %3D SX

A: Follow step 2nd.

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A:

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A: Given:- Numbers are 56 and 34  To find:- LCM of (56, 34)  Method:- i use prime Factorization method

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A: Given f(x) = 4x - 3 g( x ) = x2 + 4 h( x ) = x + 5

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A:

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A: Given:

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A:

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A:

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A: Given :      ∫e73k-13   dk

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A:

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A: Differentiate wrt x

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A: To find value of v 5370=1700v2

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A:

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