Suppose we are interested in finding the probability of obtaining at least a 5 or 6 in four rolls of a fair die (each face will have same chance to appear). If the r.v. X denote the number of times a 5 or 6 appears in the four rolls, what distribution does X follow ?

If the joint PDF (or PMF) of is such that for every in the sample space,  the random variables X and Y are independent. Here, and denote the marginal PDF (or PMF) of X and Y respectively. 

Given discrete joint PDF: Compute Leave your answer to 3 decimal places.

Both discrete and continuous random variables have probability functions that represent the probabilities of certain events associated with the random variable.

The time until a screen is cracked on a smart phone has a random distribution with mean μ = 500 hours of use. Denote this time by X and the process can be modelled by a Poisson process.  What distribution does X follow ?

List Kohlberg’s stages of Moral Development at the Preconventional Level

What does Kohlberg’s Theory of Moral Reasoning emphasize about actions/choices?

What are 2  main factors involved with developing of close friendships during middle childhood? _______ _______

Screenshot 2026-06-17 at 10.49.30 AM.png Refer to Figure 1. How much will the buyer pay for the product after the tax is imposed?

Screenshot 2026-06-17 at 10.49.30 AM.png Refer to Figure 1. What is the amount of the tax revenue? Who share more tax burden, buyer or seller?