Statistics and Probability - Problem with Answers

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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


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