# STAT 250 Data Analysis Assignment 2

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Mathematics

STAT 250

## 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.

1. 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.
3. 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.
4. Generate all requested graphs and tables using StatCrunch.

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

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Extra Notes:

- 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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Name

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 (...

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I was struggling with this subject, and this helped me a ton!

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