## Description

__STAT 250 Spring 2019 Data Analysis Assignment 2__

Your submitted document should include the following items. Points will be deducted if the following are not included.

- Type your
**Name**and**STAT 250**with your correct section number (e.g. STAT 250-xxx) right justified and then**Data Analysis Assignment #2**centered on the top of page 1 below your name the begin your document. - Number your pages across your entire solutions document.
- Your document should include the
**ANSWERS ONLY**with each answer labeled by its corresponding number and subpart. Keep the answers in order. Do__not__include the questions in your submitted document. - Generate all requested graphs and tables using
.__StatCrunch__ - Upload your document onto Blackboard as a
__Word (docx) file or pdf file__using the link provided by your instructor. It is your responsibility for uploading a readable file.

Full assignment Instructions, as well as a example is attached as a word file.

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Extra Notes:

- Each graph title should start with "Distribution of.."

- For the questions that require calculation, you can do it on a paper but would have to type the solution into word document.

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## Explanation & Answer

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1

Name

STAT 250-0xx (your correct section)

Data Analysis Assignment #2

Problem 1: Game Spinner

a) Let x be a random variable representing the landing space of a single spin. Therefore x

will take the values for the spinner locations 1, 2, 3 or 4. There are eight spinner locations

for the spinner 3 times, that is, for spaces of 1, two spaces of 2 and a single space for both

3 and 4.

The probability distribution table for the result of a single spin

X

Probability[P(x)]

Total

1

0.5

2

0.25

3

0.125

4

0.125

1

b) Simulating using the spinner 3 times

2

c) Simulating another 3 spins

3

d)

e) The total number of trials = 100 and the relative frequency from sum 10 to 12 (E) is

{[10, 11) + [11, 12]} = 0.04. Frequency from sum 10 to 12 (E) is 100*0.04 = 4

Therefore the empirical probability of moving 10 or more spaces in 3 spins is

𝑃 (𝐸) =

𝑓𝑟𝑒𝑞𝑢𝑒𝑛𝑐𝑦 𝑜𝑓 𝐸

𝑡𝑜𝑡𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑡𝑟𝑖𝑎𝑙𝑠 𝑖𝑛 𝑡ℎ𝑒 𝑒𝑥𝑝𝑒𝑟𝑖𝑚𝑒𝑛𝑡

=

4

100

= 0.04

f) The theoretical probability of moving 10 or more spaces in 3 spins is the probaility of

getting a combination of ( 2,4,4) or (...