The probability density function fx) of a continuous random variable x is defined by A 5sxS 10 f(x) = %3D 0, otherwise Then the approx value of A is [Upto 2 decimal placesl

Q: Let X be a random variable with probability density function {0 if x ≤ 0 f(x) = {c(8 − x^3) if 0 ≤ x…

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Q: Suppose a continuous random variable X has the probability density function f(a) 2e-2,r 2 0. Compute…

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Q: The probability that none of the three bulbs in a set of traffic lights will have to be replaced…

A: here given probability distribution of X (life time in thousand of hour) f(x) = 6[0.25- (x-1.5)2 ]…

Q: What is the definition of the entropy H(X) of a probability space (X, p)

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Q: A random variable W has range RW = {1, 2, 3, . . . } and the probability mass function given by…

A: The provided information is as follows:The  is a random variable having a range .The probability…

Q: A joint probability density function (pdf) is given by ax, -3 < x < 7 and 0<y < ! fxx(, y) = 0,…

A: Solution: From the given information, a joint probability density of X and Y is

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Q: A random variable X has the probability density function f(x) = e* on it support [0,z]. What is its…

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Q: Find the expected values of continuous random variables with probability density function, f(x)=…

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Q: Suppose the probability density function for a random variable X is given by S 24x- -4 if x > 2 f(x)…

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Q: Write down the probability density function of the umiformly distributed random variable X defined…

A: We have given that X~Uniform[0,5]

Q: The function f(x) is the probability density function, that describes the random variable travel…

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Q: Delta Airlines quotes a flight time of 2 hours, 3 minutes for a particular flight. Suppose we…

A: For the distrbution of the actual flight time, it is specified to be uniformly distributed between 2…

Q: the popularity density function f(x) for a uniform random variable X defined over the interval…

A: It is given that the variable X is uniform random variable with interval [2, 10].

Q: |If the expected value of the random variable X is 1/3. Find the values A and B.

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Q: Afx is a normal distribution variable, then, the moment generating function is eloT2)

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Q: The probability mass function of a random variable X is as follows: frx) = x! x = 0, 1, 2, ... Given…

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Q: Let X be a discrete random that takes values from the set {-2,0,2} where P(X=x)= { 1/5 if x=-2 3/5…

A: From the given information we want to graph graph of cumulative distribution function.

Q: Suppose that the probability density function of x is (3x², 0 (2/3)) b) Determine the cumulative…

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Q: The probability mass function of x discrete random variable x = 0, 1, 2, ... is given as p(x) =…

A: Given function is P(x)=(15)(45)x

Q: Ž (1 – p)?k=1 = -P- Ž (1 – p)²k 2k-1 Ë (1 – p) | 1- P k=1 k=1

A: Considering the LHS looping the values from 1 to 4 ∑k=1∞(1-p)2k-1 = 11-p∑k=1∞(1-p)2k LHS…

Q: Let X1,, X, denote a random sample of size n from the population with probability density function…

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Q: Let  X  be a continuous random variable with range  [0,1]  and its probability density function is…

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Q: Let Y₁, Y2, ..., Yn denote a random sample from the probability density function (0+1)yº, 0 −1,…

A: The first moment of Y about the origin based on the given density function&amp;nbsp; is:Let  be the…

Q: Let X,, X2,.. ,X, be a random sample from a distribution with density function if x 20 -e f(x; 0)…

A: The answer is given using the concept of maximum likelihood. please find step by step solution…

Q: Let p(x) = cx^2 for the integers 1, 2, and 3 and 0 otherwise. What value must c be in order for p(x)…

A: Solution: From the given information, the probability mass function of X is

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A: Step 1: E(x) calculation  Step 2:v(x) calculation  Step 3: sd calculation  Step 4: final result in…

Q: function given by 3x4. x 21, Sx(x) = 0, otherwise. A new random variable Y is defined by the…

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Q: The time, in 100 hours, that a student uses her game console over a year is a random variable X with…

A: Step 1:Step 2:Step 3:Step 4:Final Answer (a). 77.667(b). 1492.955

Q: i) Calculate the expected value of S. ii) Calculate the variance of S. iii) Determine E (1145 - 7S -…

A: Here given, Let S be a continuous random variable representing the students' study time (in hours)…

Q: s given by: (A(x² – 2x + 2) f(x) = ЗА 3 <x< 4 otherwise ere A is a constant

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Explain joint probability density function of the continuous random variables X and Y.

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Q: The joint probability function of two discrete random variables X and Y is given by f(x,y)=(1/42)…

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Q: Consider the probability density function Py (x) = a e-b lxl where X is the random variable which…

A: Answer: From the given data