Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

In this Activity the Simulation feature in StatCrunch will be used to study probabilities when a pair of dice are rolled. Consider rolling a pair

In this Activity the Simulation feature in StatCrunch will be used to study probabilities when a pair of dice are rolled. Consider rolling a pair of 3-sided dice many times and adding up the 2 dice each time. If the sides on the dice are 1, 2, and 3, the possible totals for your addition are 2, 3, 4, 5, and 6. Specifically these are the results..... Total of 2 = 1 + 1 (1 result) Total of 3 = 1 + 2 = 2 + 1 (2 results) Total of 4 = 1 + 3 = 2 + 2 = 3 + 1 (3 results) Total of 5 = 2 + 3 = 3 + 2 (2 results) Total of 6 = 3 + 3 ( 1 result) So, there are 9 (3 x 3) possible results for the 5 totals. The Simulation feature in StatCrunch will allow you to perform this task 1000 times, and it will record your results. PART A OF YOUR WORK: Run this simulation 1000 times. Save the output, and indicate the results for each of the 5 totals. StatCrunch provides a bar graph with the heights of the bars indicating the frequencies of each of the 5 totals, include that bar graph with your results. Your answers should be close to the following..... Total of 2: should be close to 111 because 1000 x (1/9) = 111.11 Total of 3: should be close to 222 because 1000 x (2/9) = 222.22 Total of 4: should be close to 333 because 1000 x (3/9) = 333.33 Total of 5: should be close to 222 because 1000 x (2/9) = 222.22 Total of 6: should be close to 111 because 1000 x (1/9) = 111.11 PART B OF YOUR WORK: Most dice have 6 sides, and the total when adding up a pair of dice are the values 2 to 12. Determine the number of results which are possible for each of the values from 2 to 12, like what was done above for 3-sided dice (1-2-3-2-1). HINT: 3 x 3 = 9 total results for a pair of 3-sided dice. It will be 6 x 6 = 36 total results for a pair of 6-sided dice. PART C OF YOUR WORK: Run this simulation 1000 times. Save the output, and indicate the results for each of the 11 (2 through 12) totals. StatCrunch provides a bar graph with the heights of the bars indicating the frequencies of each of the 11 totals, include that bar graph with your results. Here are the steps to access the Simulation feature in StatCrunch... Enter StatCrunch.....Applets.....Simulation.....Dice Rolling Please help

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Precalculus A Concise Course

Authors: Ron Larson

3rd Edition

1285607171, 9781285607177

More Books

Students also viewed these Mathematics questions

Question

Explain the key elements that define an organization's structure.

Answered: 1 week ago

Question

1. To understand how to set goals in a communication process

Answered: 1 week ago