Find the mean of the random variable Y with the given probability mass function. 1 2 3 4 p(y) .4 .2 .2 .1 O 2.3 O 3 O 4.6 1.8 1.

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: 3 4 2. 2 3 10 10 P(X) 10 10 10 2.

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Q: E ze 3. A random variable X has the following probability function. 4 6. Values of X p(x) 0. K 2K 2K…

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Q: Find the missing probability for the random variable 3 from the following probability distribution.…

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Q: Please solve b, d, and f parts.

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Q: 23. ANSWER PLEASE A,B,C

A: There are two types of variables, they are discrete and continuous random variable. Discrete…

Q: i. What is the probability that there will be between 3 and 9 potholes in a given section of 5 km.…

A: Here we use poission distribution and exponential distribution

Q: Is the following a probability distribution. Function for discrete random variable? x 1 2 3 4 P(x…

A: XP(X)10.120.230.340.4

Q: . State the Properties of expectation. If X and Y are random variables and a,b are constants, then…

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Q: B. From 6-10, show your solution. For numbers 6-8, referto the probabilty distrbution shown below. 1…

A: 6) The mean =E(X) =1.5

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: Let X be a random variable with the following probability distribution: X = -3 6. 1 p(x) = x = 6 x =…

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Q: D1

A: A discrete random variable X is said to follow the Poisson distribution if its values are…

Q: Find P(X is lesser than or equal to 1, Y=1).

A: We have to find the P(X ≤ 1, Y = 1)

Q: Be quick please

A: The joint probability distribution of X & Y is given as:     X 0 1 2 Y 1 0.1 0.2 0.1 2…

Q: E. Exercises ( Geometric Probability Distribution) 1. An oil company has determined that the…

A: Given data An oil company has determined that the probability of finding oil at particular drilling…

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

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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: QUESTION 13 1. For a random variable with the given probability distribution. 2. 4 f(x) 0.41 0.37…

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Q: Consider two fair dice: The first is 6 sided (X=1,2,3,4,5,6) and the second is 4 sided (Y=1,2,3,4).…

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Q: 4. The probability function of a d.a.d. X is: img. The expected value of X is E(X)= ? The…

A: Given function is f(x)=2x+125  ;  x=0,1,2,3,4

Q: ns 1 - 4, answer the questions about discrete random variables. Find the mean of the discrete random…

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Q: Continue on the previous problem, suppose that we have a sample space S = (E₁, E2, E3, E4. Es E6},…

A: P(E1)=0.15, P(E3)=25, P(E4)=0.05, P(E5)=0.20, P(E6)=0.15

Q: f(x, y) = x² + y² 62 (a) Find P(X= 2, Y = 1). Ans. where x = 0, 1, 2 and y = 0, 1, 2, 3 and f(x,y) =…

A: It is given that the joint probability function of two random variables X and Y.     Note: According…

Q: d) Are X and Y independent? e) Find E(X) and E(Y), Var(X) and Var(Y). f) Find the correlation…

A: The joint probability distribution is given as follows: 12310.10.10.1520.050.050.230.150.10.1

Q: Q4. The following table shows the probability mass function for the discrete random variable X: k 2…

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Q: Find μ. b. Find the sampling distribution of the sample mean for a random sample of n = 2…

A: a)  To find μ .                  E(x)=∑i X.P(X)E(x)=3×0.2+5×0.6+7×0.2E(x)=5V(x)=E(X2)+E(X)2 E(X2)=∑i…

Q: X and Y are two discrete random variables that are jointly distributed according to the following…

A: The joint probability distribution provided in the question is as follows : X→ Y↓ 0 20 50 5…

Q: 4 6. 8. P(X) 1 k 3. What should be the value of k to complete the probability distribution? A. 0 D.…

A: 3. The value of k is obtained as follows: ∑xPX=116+16+k+16+16=146+k=1k=1-46=6-46=26=13 Thus, the…

Q: Let X, and Y be two random variables with respective means x, and Hy, and standard deviations ox,…

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Q: For the discrete probability distribution. 1 3 4 5 7 f k 2k 2k 3k k² 2k² 7k² + k Find the variance.

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Q: - Consider the density function f(x) = 2x, 0<x<1, f(x)=0 elsewhere then the cumulative distribution…

A: Solution

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

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Q: If the discrete random variable X has the pmf for 2-1,0,1,3, a = find E(X), and var(X).

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: 3. The joint probability function of two discrete random variables X and Y is given by f(x,y) = cxy…

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Q: Suppose you have the following discrete probability distribution. What is the mean of XP What is the…

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Q: The following table provides a probability distribution for the random variable y. a. Compute E(y)…

A: Given:yf(y)30.2050.3060.4090.10

Q: Consider the probability distribution shown for the random variable x found below. Complete part a…

A: We want to find σ2= ?

Q: I need help with D&amp;E please

A: d. The table is as follows:

Q: 3. Find the mean of the probability distribution. 1 2 3 4 P(x) 0.3 0.4 0.2 0.06 0.04 а. 1.54 b. 1.30…

A: Given : x = 0,1,2,3,4 y = 0.3,0.4,0.2,0.06,0.04

Q: For the discrete probability distribution. 3 4. 6. 7 k 2k 2k 3k 2k2 7k + k Find the variance.

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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…