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: The probability function of the random variable X is f(x)=a-0.02x for x=0,1,2,3,4 and zero elsewhere…

A: Given Data: f(x)=a-0.02x       for x=0, 1, 2, 3, 4 x f(x) 0 a 1 a-0.02 2 a-0.04 3 a-0.06…

Q: A couple plans to have children until they get a​ girl, but they agree they will not have more than…

A: Here we have given probability distribution of random variable is x 1 2 3 P(X=​x) 0.550 0.248 0.202…

Q: The probability of a successful SSD read-write during shock tests of an SSD storage product is 0.8.…

A: Introduction: The random variable X is the number of trials required to get the first successful…

Q: e expected value of this random variable is 7.9, mplete the table. Show your work. P(x) 10 0.5

A: In this question, the expected value is given. Unknown entries are to be determined.

Q: Consider the following probability distribution of the random variable x. f(x) 0.50 1 0.25 0.10 0.10…

A: Given probability at different point  P(X=0)= 0.50, P(X=1)=0.25, P(X=2)=0.10, P(X=3)=0.10,…

Q: Find the expected value for the random variable: 1 2 P(X) 0.24 0.27 0.21 0.28

A: Given the probability distribution table: X 1 2 3 5 P(X) 0.24 0.27 0.21 0.28 Expected…

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

A:

Q: Let X be a random variable with probability distribution 1 2 3 f(x) 0.3 If E(X) = 1.8, then B %3D…

A:

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: discrete random variable X has the following probability distribution: Value of X 1 2 3 4 5 6…

A: Given that  Probability distribution table X 1 2 3 4 5 6 P(X) 0.30 0.20 0.15 0.15 0.10 0.10…

Q: Given the random variable X with distribution. x P(X = x) 0 0.15 0.5 0.24 1 0.09 1.5 0.34 2.0 0.18…

A: Answer  Given  x P(X = x) 0 0.15 0.5 0.24 1 0.09 1.5 0.34 2.0 0.18

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: The plot to the right shows the probability function of a random variable Z. Estimate the needed…

A: For the given plot Find P ( z >=3 or z =-1 ) = ? P ( z >=3 ) +P(  z =-1 ) = P( z = 3 ) + P( Z…

Q: 1. x is a random variable with the probability function: f(x) = x/6 for x = 1, 2, or 3. The expected…

A:

Q: Find the expected value from the expected value table. x P(x) x*P(x) 2 0.1 2(0.1) = 0.2 4…

A: Given, x P(x) x*P(x) 2 0.1 2(0.1) = 0.2 4 0.3 4(0.3) = 1.2 6 0.4…

Q: Question 12 The z-scores of the test results of the population of 50 students follow the…

A: Given Information: The z-scores of test results of a population of 50 students follow the…

Q: Random variables L and B have the following joint PDF: b = 4 PL.B (1, b) l = 5 l = 2 l = 7 b = 2 0.1…

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Q: L10Q1.The probability distribution of a random variable is given below. X 0 1 2 P(X) 2 a a 3 a Find…

A: X 0 1 2 P(X) 2 a a 3 a

Q: Conditional probability distribution Y given that X = 0.5 f(x, y) y -2 -1.0 1/3 -0.5 -1 1/6 0.5 1…

A: Given joint pmf of X and Y is  x y f(x,y) -1.0 -2 1/3 -0.5 -1 1/6 0.5 1 1/6 1.0 2 1/3

Q: Which formula gives the probability distribution by the following random variable 3, 4, and 5 with…

A:

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

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Q: Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random…

A: From the given information, X P(X=x) -2 0.1 1 0.23 4   5 0.13 6   Let P(X=4)=a and…

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…

A:

Q: Find conditions on the numbers a and b such that the table gives the probability distribution of the…

A: To find a + b of the given probability distribution table.

Q: The discrete random variable X has the following probability distribution: -10 0 10 p(x) 0.20 0.40…

A:

Q: 3.12 Let Y be a random variable with p(y) given in the accompanying table. Find E(Y), E(1/Y),…

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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: The probability distribution of a discrete random variable X is given in Table Q3. Table Q3 1 x 2…

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Q: PMF of random variable X is defined as 0.2 X = -2 0.1 X = -1 0.1 X = 0 Px (x) = {0 X = 1 ve X = 2…

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Q: Find the expected value E(X) of a random variable X having the following probability distribution.…

A: expected value E(X) =Σxp(x)

Q: Let X be a binomial random variable. If E(X)=3 and V(X)=1.5, then p(X=2) equals

A: First we have to determine the parameters of Binomial distribution, n and p with the help of E(X)…

Q: Complete the PDF. P(X = x) x• P(X = x) 0.1 0.4 0.2 O Part (a) Find the probability that X = 2. O…

A: Complete the PDF ( a )P(X =2 ) =? (b) Expected value =?

Q: Which of the following are a valid probability function for the given random variable? Select all…

A: Solution Here the valid probability function identified if sum of all f(x) =1 where x are values of…

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,

Q: 9. Let p(x)=()* ,x= 1, 2, 3, ...; zero elsewhere, is the PMF of the discrete random variable X. Find…

A: Given that,        p(x)=12x, x=1,2,3,......; zero elsewhere We have to find the mean of X

Q: The probability distribution of the random variable X is: 4 6 0.3 0.4 2 f (x) 0.1 0.2 The variance…

A:

Q: Compute the expected value for X.

A: here  given  joint distribution of X and Y  here E(X) = ∑X.p(X)

Q: Let X be a discrete random variable with the following PMF (0.1 for x = 0.2 for x = 0.4 0.2 for x =…

A: Given PMF is  Px(x)={0.1     for x=0.20.2    for x=0.40.2    for x=0.70.3    for x=0.80.2    for…