4) Suppose the probability density function of the magnitude X of a dynamic load on a bridge (in newtons) is given by c (1 + 3x) f(x) = {°° 0

Q: 3. Let the density of X be as follows: f(x) = 5e³, -∞ ≤I≤O a. Find the probability that X is between…

A: The density function of X f(x)=5e5x      We have to finda..Probability that X lies between -2 and…

Q: The function f(x) = k sin 8x models a continuous probability for 0 < x <T/8. Compute k: Compute…

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Q: With the known values of a = 200,000  and b = 230,000,  the first equation for the probability…

A: Here, a = 200,000 and b= 230,000 f(x) =1/(230000-200000)        =1/30000

Q: 3. In commuting to work, a professor must first get on a bus near her house and then transfer to a…

A:

Q: = Let for x 3 Find P(X -1) Let Y = X². Find the probability density function of Y

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Q: Let Y possess a density function Find: A. The value of c. B. P(1 ≤Y≤2). f(y) = [c(2-y), 0≤ y ≤ 2, (2…

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Q: Given the joint probability density (mass) function X 1 2 3 0.2 0.1 0.1 8 0.1 0.14 0.2 10 0.1 0.0…

A: The provided information is as follows:The probability mass function is given as…

Q: Q6. Consider the probability density function fex) = {C A if x>1 Inx %3D X2 otherwise . Ca) Find C.…

A: Given function f(x)=clnxx2if x≥100therwise find c find Px≥3

Q: 1) Show that the given function is a pdf (Probability Density Function) Q6 f(x) = = e7, [0, In4]

A: The probability density function is ∫-∞∞f(x)dx=1 if Pa≤x≤b=∫abf(x)dx and f(x)≥0 if the function is a…

Q: A function g(r) is a probability density function if f9(r)dr = 1. Determine if the function if x 0…

A:

Q: Problem 9: Consider the function: f(x) = Sc(2x - x3) 0 for 0 < x < otherwise 1523 Could f(x) be a…

A: Given that function.  f(x)=C(2x -x3), for 0&lt;x&lt;5/2            0             ,  o/w

Q: Let X have a Weibull distribution with the pdf below. f(x; a, B) = μ = Using the substitution, y = ·…

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Q: 2. In probability, it is common to model the deviation of a day's temperature from the monthly…

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Q: The PDF of a continuous r.v. X is given byfX(x) = a + bx2 if 0 ≤ x ≤ 1            0 otherwise.What…

A: Given:The probability density function (PDF) fX(x):fX​(x)=a+bx2 if 0≤x≤1fX​(x)=0 otherwiseandE(X) =…

Q: 2. In probability, it is common model the deviation of a day's temperature from the monthly average…

A: Given t=a t=b y=f(t) Find part a,b,c

Q: 103 and o = 5. Determine the following Assume X is a normally distributed continuous variable with u…

A: Given Information:Mean, μ=103Standard Deviation, σ=5To find out Px≤88

Q: ake the derivative of f(x) = lae-lxxa-1 with respect to x and set the derivative equal to 0.  This…

A: f(x)=lae-lxxa-1 where l and a are positive constants. Lets use product and chain rule. Product rule…

Q: 1. Consider the two functions f(x) = C(2x - x³), g(x) = C(2x - x²), 0<x<2. (1) Could f be a…

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Q: The length of a wire used in an electrical component is supposed to be 10cm. The machine that stamps…

A: a) From the given information, f(y)=388y(1+y), 0≤y≤4 Given that the wire is longer than 12 cm, then…