Question

Provide an example of a probability distribution of discrete random variable, Y, that takes any 4...

Provide an example of a probability distribution of discrete random variable, Y, that takes any 4 different integer values between 1 and 20 inclusive; and present the values of Y and their corresponding (non-zero) probabilities in a probability distribution table.

Calculate:

a) E(Y)

b) E(Y2 ) and

c) var(Y).

d) Give examples of values of ? and ? , both non-zero, for a binomial random variable X. Use either the binomial probability formula or the binomial probability cumulative distribution tables provided in class calculate:

a) ?(? = ?0) where ?0 is an integer of your own choice satisfying 0 < ?0 < ?.

b) ?(? > ?0)

e) Suggest any value, ?0, of the standard normal probability distribution (correct to two decimal places), satisfying 1.10 < ?0 < 2.5 and then calculate:

a) P(Z> −?0) and b) P (Z< 0.8?0)

i want the answer of part e as well please solve it too because last time i posted this question that person didnt solve part e for me

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A Poisson random variable is a variable X that takes on the integer values 0 ,...
A Poisson random variable is a variable X that takes on the integer values 0 , 1 , 2 , … with a probability mass function given by p ( i ) = P { X = i } = e − λ λ i i ! for i = 0 , 1 , 2 … , where the parameter λ > 0 . A)Show that ∑ i p ( i ) = 1. B) Show that the Poisson random...
The following table provides a probability distribution for the random variable y. y f(y) 3 0....
The following table provides a probability distribution for the random variable y. y f(y) 3 0. 20 5 0. 20 7 0. 30 9 0. 30 a. Compute E(y) (to 1 decimal). b. Compute Var(y) and σ (to 2 decimals). Var( y) σ
1. Given a discrete random variable, X , where the discrete probability distribution for X is...
1. Given a discrete random variable, X , where the discrete probability distribution for X is given on right, calculate E(X) X P(X) 0 0.1 1 0.1 2 0.1 3 0.4 4 0.1 5 0.2 2. Given a discrete random variable, X , where the discrete probability distribution for X is given on right, calculate the variance of X X P(X) 0 0.1 1 0.1 2 0.1 3 0.4 4 0.1 5 0.2 3. Given a discrete random variable, X...
True or False? 19. In a binomial distribution the random variable X is discrete. 20. The...
True or False? 19. In a binomial distribution the random variable X is discrete. 20. The standard deviation and mean are the same for the standard normal distribution. 21. In a statistical study, the random variable X = 1, if the house is colonial and X = 0 if the house is not colonial, then it can be stated that the random variable is continuous. 22. For a continuous distribution, P(X ≤ 10) is the same as P(X<10). 23. For...
Suppose X is a discrete random variable that takes on integer values between 1 and 10,...
Suppose X is a discrete random variable that takes on integer values between 1 and 10, with variance Var(X) = 6. Suppose that you define a new random variable Y by observing the output of X and adding 3 to that number. What is the variance of Y? Suppose then you define a new random variable Z by observing the output of X and multiplying that by -4. What is the variance of Z?
For a discrete random variable, the probability of the random variable takes a value within a...
For a discrete random variable, the probability of the random variable takes a value within a very small interval must be A. zero. B. very small. C. close to 1. D. none of the above. QUESTION 10 The area under the density function in a certain interval of a continuous random variable represents A. randomness. B. the area of one rectangle. C. the probability of the interval. D. none of the above. QUESTION 11 For any random variable, X, E(X)...
Suppose that the random variable X has the following cumulative probability distribution X: 0 1. 2....
Suppose that the random variable X has the following cumulative probability distribution X: 0 1. 2. 3. 4 F(X): 0.1 0.29. 0.49. 0.8. 1.0 Part 1:  Find P open parentheses 1 less or equal than x less or equal than 2 close parentheses Part 2: Determine the density function f(x). Part 3: Find E(X). Part 4: Find Var(X). Part 5: Suppose Y = 2X - 3,  for all of X, determine E(Y) and Var(Y)
Analyze the scenario and complete the following: Complete the discrete probability distribution for the given variable....
Analyze the scenario and complete the following: Complete the discrete probability distribution for the given variable. Calculate the expected value and variance of the discrete probability distribution. The value of a ticket in a lottery, in which 2,000 tickets are sold, with 1 grand prize of $2,500, 10 first prizes of $450, 20 second prizes of $125, and 55 third prizes of $40. i. xx 0 40 125 450 2,500 P(x)P(x) Round probabilities to 4 decimal places ii. E(X)E(X) =...
The random variable W = X – 3Y + Z + 2 where X, Y and...
The random variable W = X – 3Y + Z + 2 where X, Y and Z are three independent Normal random variables, with E[X]=E[Y]=E[Z]=2 and Var[X]=9,Var[Y]=1,Var[Z]=3. The pdf of W is: Uniform Poisson Binomial Normal None of the other pdfs.
__________ For a continuous random variable x, the area under the probability distribution curve between any...
__________ For a continuous random variable x, the area under the probability distribution curve between any two x-values is always _____. Greater than 1    B) less than zero    C) equal to 1    D) in the range zero to 1, inclusive _________For a continuous random variable x, the total area under the probability distribution curve of x is always ______? Less than1          B) greater than 1              C) equal to 1                      D) 0.5 ___________ The probability that a continuous random variable x...