Statistics and Probability - Problem with Answers
K to 12 Senior High School Statistics and Probability Problem with Answers Problem: In an experiment, a five-sided die has been modified to appear. One sided with one dot, two sides with two dots, and two sides with three dots. Let the random variable x be the number of dots seen when this die is rolled once. Express the probability of x in a probability distribution and construct its histogram. Answer: Step 1. Construct a sample space. Let D stand for the word "dot". SS = { 1D, 2D, 2D, 3D, 3D } Step 2. Calculate the Probability of the random variable. P(x = 1) = P(1D) = 1/5 P(x = 2) = P(2D) = 2/5 P(x = 3) = P(3D) = 2/5 Step 3. Construct a table for the probability distribution. HISTOGRAM