Find the following: a. Find the expectation of b. Find the variance of A discrete random variable X whose probability function is given by: f (x) = ( where x = 1, 2, 3, 4, 5

Q: For the random variable X defined by the probability function below, answer the following questions.…

A: Given: x 2 3 4 5 6 7 f(x) 0.25 0.15 0.10 0.15 0.10 0.25

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Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) 0.30 10…

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Q: Calculate the variance of the following probability distribution: 1 2 f(x) 0.14 0.18 0.25 0.21 0.22…

A: Given, a probability distribution Then ,    mean = Ex = ∑x=04x fx   Variance= Ex2 - Ex2where    Ex2…

Q: Let x be a random variable with the following probability distribution. Value x of X P(X=x) -1 0.25…

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Q: Let X be a random variable with the following probability distribution: |-3 6. 9. P(X) 1/6 1/2 1/3…

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Q: Let x be a random variable with the following probability distribution. Value x of X P(X=x) 2 0.10 3…

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Q: For the given probability distribution, X f(x,y) 1 2 5 0.25 0.2 y 10 0.2 0.15 15 0.15 0.05 Determine…

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Q: Compute the mean, variance, and standard deviation of the probability mass function. (Non-anonymous…

A: Probability mass function explain the probability that ranges for the random variable which are…

Q: Let X be a random variable with the following probability distribution. Value x of X P (X=x) 1 0.05…

A: Solution-: We have following table: X P(X=x) 1 0.05 2 0.85 3 0.05 4 0.05 We find, (a)…

Q: Consider the following probability distribution. Xi P(X = xi) 10 0.06 13 0.33 16 0.23 19 0.38 The…

A: Expected value: x P(X=x) x*P(X) 10 0.06 0.6 13 0.33 4.29 16 0.23 3.68 19 0.38 7.22…

Q: Let A be a random variable with an expected value of E(X) = 32 and a variance Var(X) = 38. Find the…

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Q: The table below is the joint probability distribution of X and Y. y fxy(x.y) -1 -2 1/8 -0.5 -1 1/4…

A: The joint probability distribution can be represented as:

Q: If E denotes the expectation the variance of a random variable X is denoted as? a. (E(X))² O a. O b.…

A: Given,E denotes the  expectation.

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) 0.05…

A: Given: Let X be a random variable .

Q: Calculate the variance of the following probability distribution: -3 -2 -1 1 3 f(x) 0.17 0.14 0.11…

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Q: Let X be a random varlable with the following probability distribution. Value x of X P (X=x) 10 0.10…

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Q: Calculate the following probabilities, assuming that X is normally distributed with mean μ = 40 andσ…

A: From the given information, Consider, X be random variable that follows normal distribution with…

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) 10 0.15…

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Q: The following is a Poisson probability distribution with P(x) 0 0.9020 1 0.0835 2 0.0115 3 0.0030…

A: Given: Mean of the Poisson distribution = 0.4 To find : The variance of the distribution.

Q: A discrete random variable X has the following probability distribution: -4 -3 -2 -1 2 3 0.05 0.075…

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Q: The joint probability distribution of the number X of cars and the number Y of buses per signal…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: If E denotes the expectation the variance of a random variable X is denoted as? a. (E(X))² b. C.…

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Q: Determine the covariance and correlation for the following joint probability distribution: x 1 1 2 4…

A: Introduction: It is required to find the covariance and correlation for the given joint probability…

Q: Let X be a random variable with the following probability distribution. Question table Value   of X…

A: Probability distribution is,   x p(x) 1 0.10 2 0.60 3 0.15 4 0.10 5 0.05

Q: Determine the value c so that each of the following functions can serve as a probability…

A: For any probability mass functionp(x)≥0∑xp(x)=1

Q: The table below is the joint probability distribution of X and Y. y fxy(x.y) -1 -2 1/8 -0.5 -1 1/4…

A: The joint probability distribution table can also be represented as:   The marginal distribution of…

Q: The joint probability distribution of the number X of cars and the number Y of buses per signal…

A:

Q: In Exercise, a probability density function of a random variable is defined. Find the expected…

A: To find: The expected value, the variance, and the standard deviation. Given information: The…

Q: Let X1, X2, ..., X144 be independent identically distributed (i.i.d.) random variables, each with…

A: Let be independent identically distributed random variables each with expectation The standard…

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -2 0.05…

A: Given probability distribution table is value x of X P(X=x) -2 0.05 -1 0.35 0 0.25 1 0.35…

Q: Determine the correlation for the following joint probability distribution y f(X.y) | 1/8 1 1 2 4 3…

A: Let X and Y be two random variables. Then the correlation coefficient between X and Y is given by,…

Q: 4 f(x) = OTHERWİSE 0, -12112

A: EX=∫-20x.fxdx+∫02x.fxdx=∫-20x12+x4dx+∫02x12-x4dx=∫-20x2+x24dx+∫02x2-x24dx=12∫-20xdx+14∫-20x2dx+12∫02…

Q: Find the variance of the following discrete probability distribution. Formula in the image attached…

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Q: 3. Given the following discrete probability distribution, x P (x) 42 0.375 65 0.15 70 0.225 75 0.05…

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Q: Let A be a random varlable with the following probability distribution. Value x of X P (X=x) -1 0.05…

A: Given that  The probability distribution table  X -1 0 1 2 P(X)  0.05 0.50 0.35 0.10   We…

Q: Which of the following validates the a probability mass distribution? P(x) <1 P(x) S0 P(x) 2 0 P(x)…

A: We know for a valid probability mass distribution, i. 0≤P(x)≤1 , x is a real number Any value of x…

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -20 0.30…

A: Let X be the random variable having probability distribution is,  X -20 -10 0 10 20 P(X=x)…

Q: Let X be a random variable with the following probability distribution. Value  x  of  X P(X=x) -2…

A: Given, X P(X=x) -2 0.25 -1 0.20 0 0.40 1 0.10 2 0.05

Q: Let X be a random variable with the following probability distribution. Value x of XP (X=x) -1 0 1 2…

A: Given data is value of x of X P(X=x) -1 0.05 0 0.25 1 0.55 2 0.15

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) 0.30…

A: We have given that  Probability distribution of discrete.  I want to find mean and variance.  E(x)=…

Q: The random variable X has the following probability distribution. -1 0 P(X=x) 0.20 0.50 0.30…

A: Consider the probability distribution:

Q: Q8) Find the variance of the following probability * distribution 1 f(x) 0.29 0.12 0.52 0.07 0.6891…

A: From the provided information, The probability distribution table is as follow: X 1 2 3…

Q: Find the mean and the variance of the uniform probability distribution given by f (x ) = - for x =…

A: Answer: Using the given data,

Q: Let X be a random variable with the following probability distribution. Value X of X P(X=x) 30…

A: Given that  Probability mass function of X is  Value x 30 40 50 60 70 80 P(X=x) 0.15 0.25 0.20…

Q: In the following table, x is a discrete random variable and p(x) is the probability density. The…

A: Introduction :

Q: The following table provides a probability distribution for the random variable x. x f(x)…

A: The provided table for probability distribution is:

Q: Let X be a random variable with the following probability distribution. Value x of X P (X=x) 20 0.10…

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Q: Let X be a random variable with the following probability distribution. Calculate the following…

A: X 4 5 6 7 8 9 P(X=x) 0.60 0.10 0.05 0.15 0.05 0.05