Find the expected value of the random variable. X POX=X X)/ 0. P(X=x) 0.5 O 1.00 O 1.20 O 0.80 O 0.33 0.60 1 0.2 2 0.3

Q: 1. The random variable X has probability distribution. 1 2 3 4 P(X=x) 0.10 0.20 0.30 Given E(x)=3.5.…

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Q: The table below shows the respective probabilities that a number of power failures will strike a…

A: Answer Given,E[x] = 1.3Z = 7x + 2

Q: The probability distribution of a random variable X is given.  x     450     500     500     555…

A: Given Data: x P(X=x) x P(x) x^2 P(X) 450 0.1 45 20250 500 0.2 100 50000 500 0.1 50 25000…

Q: The pdf of a random variable X is given by: 1 3 f(x) = + for 0 ≤æ≤2 8 8x Please find P(1 ≤ x ≤ 1.5).…

A: Use the given information.

Q: x P(x) 0 0.15 1 0.3 2 0.05 3 0.5

A: Here we have given the value of x that the random variable X takes and their corresponding…

Q: The discrete random variable Xhas the probability distribution given by: 7 9 12 13 15 P(X=x) u/2…

A: The function is PDF if ∑pi=1 u2+0.05+0.35+u+0.15=13u2=920u=310=0.3

Q: A random variable, X, is distributed normal and defined as X-N(u, o). The standard normal…

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Q: x P(x) 0 0.3 1 0.15 2 0.15 3 0.4 Find the standard deviation of this probability distribution.…

A: Given data, x P(x) 0 0.3 1 0.15 2 0.15 3 0.4

Q: x P(x) 0 0.25 1 0.15 2 0.3 3 0.3 Find the standard deviation of this probability distribution.…

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Q: O Y = "the time it takes to finish this exam" OX= "the exact number of inches it rained last summer"…

A: Topic:- algebra

Q: The probability that a random variable assumes a value x is always between a. O and 1 c. O and o b.…

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Q: 2n- 50 and p= 0.45

A: Given, Let, n =number of trials p =the probability of success q=1-p

Q: 7. Let X be a continuous random variable with p.d.f. f (x) ax, 0sxs1 %3D = a 1sxs2 = -ax+3a, 2sxs3 =…

A: Given data   fx = ax                       0≤x≤1           = a                        1≤x≤2…

Q: x P(x) 0 0.1 1 0.15 2 0.1 3 0.65 Find the standard deviation of this probability distribution.…

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Q: 1. The random variable X has probability distribution. X 1 3 5 7 9. P(X=x) 0.2 0.2 0.15 Given E(x)=…

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Q: p.d.f. h(x) of the random variable x is defined by h(x) =3/(4(1-x²)),-1<x< 1,Calculate the expected…

A: Given pdf of random variable is defined by h(x). We have to find the expected value of X that is…

Q: The higher education department of Holmes Institute recorded data on the number of students enrolled…

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Q: 4. A discrete random variable X is known to have the following probability distribution function: x…

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Q: A random variable, x, has p.d.f. f (x) given by f(x) = 2 when 0< x < 1, The expected value is…

A: Solution

Q: x P(x) 0 0.15 1 0.25 2 0.1 3 0.5 Find the standard deviation of this probability distribution.…

A: x P(x) 0 0.15 1 0.25 2 0.1 3 0.5

Q: Suppose we ask a basketball player to shoot 4 free throws. Let the random variable of interest x…

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Q: 3. Let X₁, X2, ..., X200,000 be i.i.d. random variables each with mean 10 and variance 5. Let Y = X₁…

A: The random variables X1, X2, …, X200,000 are independent and identically distributed, each with…

Q: Here's a new idea for treating advanced melanoma, the most serious kind of skin cancer: genetically…

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Q: Round all of your final answers to four decimal places if necessary. The probability distribution of…

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Q: 2. Which one of the following statements is true for all random variables X? ?X E(X?) > Var(X).…

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Q: Solve the problem. Round to four decimal places. If x is a binomial random variable, compute p(x)…

A: Given that : X follows binomial distriubtion,  n = 6  x = 2 p = 0.6   Binomial probability…

Q: Consider the pmf for a discrete random variable X below. What is E(X)=p? 3 0.1 P(x) 0.2 0.2 0.5…

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Q: if the probability distrobution for the random variable X is given in the table  what is the…

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Q: X P(x) 6 0.2 7 0.2 8 0.3 9 0.2 10 0.1 1. Calculate the mean or the expected value of X 2. Calculate…

A: Given data; x P(x) x.P(x) x2.P(x) 6 0.2 1.2 7.2 7 0.2 1.4 9.8 8 0.3 2.4 19.2 9 0.2 1.8…

Q: C/ If x is a normally distributed for continuous random variable with "= N+5+G and o= N+3. Find…

A: GivenN=45G=3μ=N+5+G=45+5+3=53σ=N+3=45+3=48

Q: Find the standard deviation of the random variable Y with the given probability mass unction. y 1 4…

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Q: Calculate the standard deviation o of X for the probability distribution. (Round your answer to two…

A: Obtain the standard deviation of X for the probability distribution. The standard deviation of X for…

Q: The random variable X has probability distribution. 2 4 P(X-x) 0.2 0.15 0.25 Given E(x)-3.5. Find a.…

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Q: A city bus runs every 6 minutes on a certain route. Let X be the waiting time of a passenger…

A: A city bus runs every 6 minutes on a certain route  X  is the waiting time of a passenger arriving…

Q: The random variable X, representing the number of errors per 100 lines of software code, has…

A: Given that,x23456f(x)0.40.250.30.010.04we need to find the value of variance by the given formula,