Problem 5. Suppose the PDF of an RV X is fx(t) = (A) Find the value of c and sketch the PDF. (B) Compute P(X ≤ 1/2). (1-1)¹/2 for t € (0, 1) otherwise

Q: Part 1 1. If f(0) = g(0) = 0 and f" and g" are continuous, show that ff f(x)g"(x)dx= f(a)g'(a) — ƒ…

A: I have given the answer in the next step. Hope you understand that

Q: 3. Find the derivative of g(r) = Do Not Simplify. +1

A:

Q: 10. (a) State the Fundamental Theorem of Calculus. -x sin t %3D (b) Let J(x) = S*. Evaluate: (i)…

A: Fundamental theorem of calculus

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A: h(x)=fgx and px=gfx

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A:

Q: 7. If f(x)=√(1-1²)et² dt, on which interval is f decreasing?

A:

Q: Compute the derivative (r₁(1) r2(1)) if r₁(t) = (t¹0, 1³, tº) 73 10t r2(t) = (et, e³t, elor) (Use…

A:

Q: What is the difference between the actual and forecasted values of a time series called?

A: We know that there always be difference between actual and forcasted value of time series.

Q: Let Q (p) : %3D p+1 (a) Calculate the derivative Q' (p) (b) Calculate the quotient Q (p + 4) – Q (p)…

A: Using derivative formula.

Q: Correlations Interpersonal Perception Accuracy: All (#Correct) Static Facial Emotion Pearson…

A: Decision rule : significant correlation if P-value  <  α Here  P-value = 0.015 < 0.05 = α.

Q: 1. Consider the error function, erf(x), defined by erf(x) = e-* dt. This function is important in…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Time series plots – Analyze each of these cycle time data separately: C3, C12, C13. That means three…

A: Given data, C3 C12 C13 19.98 29.95 20.48 20.01 30 20.2 20.02 30…

Q: Find the derivative of y with respect to the independent variable. у- (In 100)*

A: