Suppose a PDF is given as f(x) = 3x², where 0 ≤ x ≤ 1 Compute P (x > ¹).

Q: Is f(x)= Vx + 1 continuous at x == -1

A: Draw the graph and check continuty with help of limit of function.

Q: Apply the Mean Value Theorem [MVT] to the function (x)= vx interval [4, 16]. MVT assures us that…

A: here we have to find the value of Z after applying mean value theorem ,  the given function is…

Q: 2) Find a value of c for which f (x) is a pdf on the f(x) = cx + x², [0. 1]

A: Introduction ∫-∞∞fxdx=1 The total area under the curve fx of pdf is 1.

Q: Let X ~ N(12, 5). Find the value of x0 such that (a) P(X > x0) = 0.05 (b) P(X x0) = 0.90.

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Q: Suppose f is differentiable and (-1,4) is a point on the graph of f. The estimate f(-0.8) 5 is…

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Q: Next question hearts? An experiment consists of dealing 4 cards from a standard 52-card deck. What…

A: no.of heart cards=13total no.of cards=52

Q: Consider the function f(t) defined as f(t)= 2t^(2) + 8t+9 for the range -<ts, and extended…

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Q: Consider the function f defined by f(x) = x lxl for each * € R. How many times is f differentiable…

A: To determine the differentiability of the function  on  and , we need to analyze the derivative of…

Q: If f(x) = x² - ²x² 5 4 5 4 has a relative maximum? 3 -x³+60, then what is the set of x values for…

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Q: Use the MVT to prove that if f' (x) ≤ 2 for x &gt; 0 and f (0) = 4, then f (x) ≤ 2x + 4 for all x ≥…

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Q: The regression equation for predicting the number of speeding tickets (Y) from information about…

A: Given,  b0 = 0.16 b1 = 5.5 X = 20     To find the predicting value for y for X = 20.

Q: 3 (4-x), 25x52 The error involved in making a certain measurement is a continuous rv x with pdf f(x)…

A: Step

Q: show that the x corrdinate gaurentted to exist for the mean value theorm for f(x)=1/x on the…

A: According to the mean value theorem, if the function f(x) is continuous on the closed interval [a,b]…