Question

Applicants for the University of Statland take two tests, one for writing ability and the other on critical thinking, and normalised scores are recorded on each between 0 and 1. For a given applicant, let ???? be the score on the writing test and ???? the score on the critical thinking test. A model for the joint probability density function for the two test scores can be taken as: ????(x,y)= {x+y o for 0

Answer 1

The joint probability density function for the two test scores, writing test score (x) and critical thinking test score (y), is given by Ρ(x, y) = {x + y if 0 <= x <= 1 and 0 <= y <= 1, 0 otherwise}.

Step-by-step explanation:

The joint probability density function for the two test scores, writing test score (x) and critical thinking test score (y), is given by:

Ρ(x, y) = {x + y if 0 <= x <= 1 and 0 <= y <= 1, 0 otherwise}

This means that the probability of a score (x, y) is equal to the sum of x and y, within the range of 0 to 1 for both x and y. Outside of this range, the probability is 0.