A random variable has a PDF f(x) = i) The value of C. ii) P (X> 2). C √√25-x² -5

Q: f(x) = - 4x-1 and g(x) = x- 4. nd (fo g)(6). en (fo g)(6) = : (Simplify your answer.) %3D

A: follow next step

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A: Ans:-Given       20 logx=-1  —1   we know that         log a=b, then         a=10b

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A: Product rule of differentiation: If p(x) and q(x) are two functions of x, then…

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A: Option D is the answer.

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A: P(-c&lt;z&lt;c)=0.9464

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A: Givenf(t)=(-16t-8)(t-1)To findf'

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A: Answer

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A: Let X be the continuous random variable follows normal distribution with mean μ and variance σ2,…

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A: We have to find the integrals: 21.  ∫2x2+12x3+3x-42 dx22.  ∫x2+6x-14x+3 dx23.  ∫2x-15x2-5x+43 dx…

Q: Q3/ The value of k such that P2 (1) = 2.8, 2 |k 4 f 1 2 Is

A: Given are some values of x and f. Also, given P2(1)=2.8 First we calculate P2(x) using Lagrange…

Q: B If Så f(x) da B = -15 and * A [2f(x)-3g(x)] dx = 90. Find g(x) dx. A A. 40 OA B. -40 C. 20. D.-20…

A: Step 1: Step 2: Step 3: Step 4:

Q: Consider throwing a die 5 times. Let X be the number of times the outcome is less than 3. Find P(X =…

A: Let p be the probability of getting number less than 3  Result used:  nCr=n!/(r!(n-r)!)…

Q: (0) On the interval [6, 9], / f(x) dr %3D

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A: The given function:fx=3x2+2if x&lt;32x-3if x≥3.We need to find ∫35fxdx.

Q: 2. Evaluate f(x) = e3x + 2 at x = -1. Round to the nearest thousandth. %3D %3D f(-1) = ...

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