For a pair of dice, if the discrete random variable is defined by χ= {█(1 if...

For a pair of dice, if the discrete random variable is defined by χ= {█(1 if a=b@max⁡(a,b)if a≠b)┤
(i) Determine the χ; χ(S) (ii) Construct the probability distribution table of χ;f(xi) (iii) Find the expected value χ;E(χ) (v) Variance (vi) Standard deviation (vi) Normal interval for

Solutions

Expert Solution

orchestra answered 11 months ago

Next > < Previous

Related Solutions

Consider rolling two dice and let (X, Y) be the random variable pair defined such that...

Consider rolling two dice and let (X, Y) be the random variable pair defined such that X is the sum of the rolls and Y is the maximum of the rolls. Find the following: (1) E[X/Y] (2) P(X > Y ) (3) P(X = 7) (4) P(Y ≤ 4) (5) P(X = 7, Y = 4)

Consider the probability distribution of the discrete random vector [Χ,Y ] where Χ represents the number...

Consider the probability distribution of the discrete random vector [Χ,Y ] where Χ represents the number of orders for chickens in August at neighbouring supermarket and Y represents the number of orders in September. The joint distribution is shown in the following table: 6 Χ Y 100 200 300 400 500 100 0.06 0.05 0.05 0.01 0.01 200 0.07 0.05 0.01 0.01 0.01 300 0.05 0.10 0.10 0.05 0.05 400 0.05 0.02 0.01 0.01 0.03 500 0.05 0.06 0.05 0.01...

1. The probability mass function of a discrete random variable X is defined as p(x) =...

1. The probability mass function of a discrete random variable X is defined as p(x) = ax for x = 1, 2, 4, 8 (p(x) =0 for all other values) then the value of a is? 2. Let X be a discrete random variable with Var(X) =6.0 and E(X2) = 17.00. Then: E(X) = ? 3. If X is a binomial random variable with parameters n and p, i.e. X ~ b(x; n, p), then the expected value of X...

Three discrete distribution were discussed in your textbook. Each was defined by a random variable that...

Three discrete distribution were discussed in your textbook. Each was defined by a random variable that measured the number of successes. In order to apply these distributions, you must know which one to use. Describe the distinguishing characteristics for each distribution.

What is the difference between a discrete random variable and a continuous random variable?

What is a random variable? Why is it important? What is discrete random variable? Continuous random?...

What is a random variable? Why is it important? What is discrete random variable? Continuous random? What is an expected value?

Q 7: Determine whether the following value is a continuous random variable, discrete random variable, or...

Q 7: Determine whether the following value is a continuous random variable, discrete random variable, or not a random variable. a. The height of a randomly selected person b. The hair color of adults in the United States c. The number of free-throw attempts before the first shot is missed d. the weight of a hamburger e. The number of pigeons in a country f. The exact time it takes to evaluate 67 + 29

A pair of dice is tossed. Calculate the variance of the sum of the dice? A)...

A pair of dice is tossed. Calculate the variance of the sum of the dice? A) 35/6 B) 37/6 C) 6 D) 19/3 E) 17/3

A pair of dice is rolled and the sum of the dice is recorded, determine the...

A pair of dice is rolled and the sum of the dice is recorded, determine the probability that: a) The sum is greater than 5 given the first dice is a 4. b) The sum is greater than 9 given the second dice is a 6. c)The sum is even given the second dice is a 4 d) The sum is odd given the first dice is a 3 e) A double is rolled given neither dice is a 4...

Let W be a discrete random variable and Pr(W = k) = 1/6, k = 1,...

Let W be a discrete random variable and Pr(W = k) = 1/6, k = 1, 2 ,....., 6. Define X = { W, if W <= 3; 1, if W >= 4; } and Y = { 3, if W <= 3; 7 -W, if W >= 4; } (a) Find the joint probability mass function of (X, Y ) and compute Pr(X +Y = 4). (b) Find the correlation Cor(X, Y ). Are X and Y independent? Explain.

Subjects