Question

In: Statistics and Probability

Let Y be a discrete random variable with probability mass function given by P(Y =i)=c·(i−2) fori=3,4,6...

Let Y be a discrete random variable with probability mass function given by P(Y =i)=c·(i−2) fori=3,4,6

1. Pay attention to the possible values for Y , and find the numerical value of c. Make sure to show work / justify your answer.

2. Draw the graph of the cumulative distribution function of Y.

Solutions

Expert Solution

ANSWER::

Property of probability mass function is:

  

Using this property we can find the value of c.

NOTE:: I HOPE YOUR HAPPY WITH MY ANSWER....***PLEASE SUPPORT ME WITH YOUR RATING...

***PLEASE GIVE ME "LIKE"...ITS VERY IMPORTANT FOR ME NOW....PLEASE SUPPORT ME ....THANK YOU


Related Solutions

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...
Let X and Y be two discrete random variables whose joint probability distribution function is given...
Let X and Y be two discrete random variables whose joint probability distribution function is given by f(x, y) = 1 12 x 2 + y for x = −1, 1 and y = 0, 1, 2 a) Find cov(X, Y ). b) Determine whether X and Y are independent or not. (Justify your answer.
The probability function of a random variable Y is given as follows. ?(? = ?) =...
The probability function of a random variable Y is given as follows. ?(? = ?) = { 0.20, ? = 48 // 0.45, ? = 15 /// 0.14, ? = 32 // 0.05, ? = 43 /// 0.16, ? = 54 /// 0, ?. ?. a) Find the range of the random variable Y. b) Find the expected value and standard deviation of Y. c) Let ? = ? 10 + 2.70, Find the expected value and variance of X
  Consider a discrete random variable with the following probability mass function x 0 1 2 3...
  Consider a discrete random variable with the following probability mass function x 0 1 2 3 4 5 p(x) 0.1 0.1 0.2 0.3 0.2 0.1 Generate a random sample of size n =10000 from this distribution. Construct a bar diagram of the observed frequencies versus the expected frequencies.(using R)
A discrete random variable named X has the following pmf (probability mass function): X P(x) 1...
A discrete random variable named X has the following pmf (probability mass function): X P(x) 1 0.6 3 0.2 7 0.1 11 0.1 17a) Find P(X>6) 17b) What is the probability two independent observations of X will both equal 1? 17c) Find the population mean also known as E(X)= the expected value of 17d) Find the population variance of X with both the “regular” formula and “convenient” formula Make a table and show your work. You should get the same...
Let p(y) denote the probability function associated with a Poisson random variable with mean λ. Show...
Let p(y) denote the probability function associated with a Poisson random variable with mean λ. Show that the ratio of successive probabilities satisfies (p(y)/p(y-1)) = ( λ /y), for y=1,2,...
Discrete random variables X and Y have joint probability mass function defined by the table below....
Discrete random variables X and Y have joint probability mass function defined by the table below. X= { 0 , 1 , 2 } , Y= { − 2 , 0 , 2 }    y/x 0 1 2 -2 0.2 0.1 0.1 0 0.0 0.4 0.0 2 0.1 0.0 0.1 A.) Evaluate the expected value of X (round to 2 decimal digits) B.) Evaluate the variance of X (round to 2 decimal digits) C.) Evaluate the covariance of X...
Suppose X is a discrete random variable with mean μ and variance σ^2. Let Y =...
Suppose X is a discrete random variable with mean μ and variance σ^2. Let Y = X + 1. (a) Derive E(Y ). (b) Derive V ar(Y ).
Given two random variables x and y State of Nature   Probability   variable x   variable y I...
Given two random variables x and y State of Nature   Probability   variable x   variable y I 0.2 18 0 II 0. 2 5 -3 III 0.2 12 15 IV 0.2 4 12 V 0.2 6 1 (i) Calculate the mean and variance of each of these variables and the covariance between them (ii) Suppose x and y represent the returns from two assets. Calculate the mean and variance for the following part folios. % in x 125 100 75 50...
Let N be a binomial random variable with n = 2 trials and success probability p...
Let N be a binomial random variable with n = 2 trials and success probability p = 0.5. Let X and Y be uniform random variables on [0, 1] and that X, Y, N are mutually independent. Find the probability density function for Z = NXY . Hint: Find P(Z ≤ z) for z ∈ [0, 1] by conditioning on the value of N ∈ {0, 1, 2}.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT