Theory Linear Algebra: Provide answers (if invalid, say so) to the following operations.(a) 3 57 0 1 2(b) 3 57 0 12 Probability: The entropy of a discrete random variable X is defined as:−Xx∈XP(x) ln P(x) (1)(a) Compute the entropy of the distribution P(x) =...
provide effective mathematics instruction, teachers must be able to choose effective, age-appropriate mathematical tools to meet the learning needs of a diverse student population. With these tools in mind, effective teachers must be able to use research-based...
Q1 (10 points)Give a combinatorial proof of the identityfor such that . No algebraic manipulations are allowed, i.e. you must interpretboth sides directly in the way that they are written.Q2 (10 points)You have three red, five green, and eight blue 20-sided dice that...
Marko currently has 20 tulips in his yard. Each year he plants 5 more. a. Write a recursive formula for the number of tulips Marko has b. Write an explicit formula for the number of tulips Marko has
The diameter of circle can be modelled by normal distribution with mean 30 and variance 1 find the probabailty that the diameter of a particular object is greater than 30.6