Let X be a discrete random variable with the following probability mass function: P(X = 1) = 0.3 P(X = 2) = 0.4 P(X = 3) = 0.2 P(X = 4) = 0.1 What is the expected value of X?

Q: Let X be a discrete random variable with the following probability distribution: X = 0 | P(X = 0) =…

A: The discrete value of x and their probability are, X 0 1 2 3 4 5 6 P(X=x) 0.1 0.15 0.2 0.25…

Q: If X is a discrete random variable, and it’s PMF function is given by f(x). What is the correct way…

A: According to the provided information, X is a discrete random variable, and it’s PMF function is…

Q: x is a gaussian random variable with a PDF as described above, where μ is the mean, σ is the…

A: Let x be a Gaussian random variable,Let μμ denote the mean and σσ denote the standard deviation Let…

Q: Let the function in the figure be a cumulative distribution function for the random variable X. Find…

A: For a finite random variable X, the cumulative distribution function is defined as F(x) = P(X ≤ x).…

Q: Let X be a Geometric random variable with parameter p = 1/4. Find E(4X + 1)² and V(3 + 2X). Two fair…

A:

Q: A random variable X has the following pdf: f(x) = 9xe-3"; x > 0

A: Given: random variable x with gamma distribution with pdf  f(x)=9*x *e^-(3x)  : x>0  then to find…

Q: Suppose x is a random variable best described by a uniform probability that ranges from 1 to 5.…

A: Answer:- Given, x is a random variable best described by a uniform probability that ranges from 1 to…

Q: A coin is weighted such that P(H) = 1/3 and P(T) = 2/3. This coin is tossed five times. Let X be the…

A: Given information P(H) = 1/3 P(T) = 2/3 n = 5 X denotes the total number tails X ~Bin (n = 5, p =…

Q: Let X be a random variable with the following probability distribution. Value x of X P(X=x) -20 -10…

A: According to the given information, we haveThe probability distribution table for the given random…

Q: et X be a discrete random variable with P(X = -2) = .1, P(X = 1) = .15, P(X = 2) = .4, P(X = 4) =…

A:

Q: Calculate the expected value E(X) of the given random variable X. X is the lower number when two…

A: Two dices are rolled.

Q: function: 3y2 ;-1< y< 1 f(y) = 0; Otherwise Compute the Variance of Y. That is, compute Var(Y).…

A: Given,f(y)=3y22; -1&lt;y&lt;10;  otherwise

Q: The distribution of random variable X can be described by the following probability mass function:…

A: The probability mass function for the X can be defined as:

Q: Suppose a random variable is best described by a uniform probability distribution with range 0 to 5.…

A: X~U [a=0, b=6] For uniform distribution,

Q: Let X be a Poisson random variable with parameter λ. Show that the probability that X is even is…

A: Given that, X be a Poisson random variable with parameterλ. We need to show that the probability…

Q: x is a gaussian random variable with a PDF as described above, where μ is the mean, σ is the…

A: Given that X is a Gaussian random variable with μ is the mean, σ is the standard deviationFx(-4.8) =…

Q: The 3 month demand for a spare car part has the following probability mass function: x 0 1 2 p(x)…

A: Given Data: x 0 1 2 p(x) 0.25 0.5 0.25 a) The expression to calculate the probability of at…

Q: The table below shows the probability distribution for a discrete random variable X. X 0 1 2 4 5…

A: According to the given information in this question We need to find the value of n and expected…

Q: Let X be a discrete random variable with P(X = -1) = .3, P(X = 1) = .45, P(X = 2) = .15 and P(X = 6)…

A: The following information has been given: We have given that X is a discrete random variable.  P(X =…