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WGU Academy Statistics Module 5 ALL QUESTIONS AND ANSWERS VERIFIED

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WGU Academy Statistics Module 5 ALL QUESTIONS AND ANSWERS VERIFIED Producing data how data are obtained, and what considerations affect the data production process. Exploratory data analysis tools that help us get a first feel for the data, by exposing their features using graphs and nu...

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  • August 20, 2024
  • 9
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers
  • WGU ACADEMY
  • WGU ACADEMY
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WGU Academy Statistics Module 5
Producing data

how data are obtained, and what considerations affect the data production process.


Exploratory data analysis




A
tools that help us get a first feel for the data, by exposing their features using graphs
and numbers.




VI
probability




TU
likelihood that a particular event will occur
IS
Probability is a measure of how likely an event is to occur. Choose the probability that
best matches each of the following statements:
(a) This event is impossible:
OM

(b) This event will occur more often than not, but is not extremely likely:

(c) This event is extremely unlikely, but it will occur once in a while in a long sequence of
trials:
NA


(d) This event will occur for sure:
a: 0 - A probability of 0 represents an event that can never occur.
JP



b: 0.60 -A probability of 0.60 represents an event that will occur more often than not.
Specifically, it will occur almost two-thirds (0.67) of the time.

c: 0.01 - A probability of 0.01 represents an event that is VERY unlikely, but is still
possible.

d: 1 - A probability of 1 represents an event that will occur for certain.

, The probability that an event will occur is between 0 and 1 or 0 ≤ P(A) ≤ 1. Many people
prefer to express probability in percentages. Since all probabilities are decimals, each
can be changed to an equivalent percentage. Thus, the latest principle is equivalent to
saying, "The chance that an event will occur is between 0% and 100%."




Theoretical (also known as Classical)
Classical methods are used for games of chance, such as flipping coins, rolling dice,




A
spinning spinners, roulette wheels, or lotteries.




VI
flipping a coin, rolling dice, spinning spinners, roulette wheels, lotteries.




TU
Empirical (also known as Observational)
IS
Flipping a Fair Coin
Thus, P(heads) = P(tails) = 1/2 or 0.5. Letting H represent "heads," we can abbreviate
the probability: P(H) = 0.5.
OM

Rolling Fair Dice
Each traditional (cube-shaped) die has six sides, marked in dots with the numbers 1
NA


through 6. On a "fair" die, these numbers are equally likely to end up face-up when the
die is rolled. Thus, P(1) = P(2) = P(3) = P(4) = P(5) = P(6) = 1/6 or about 0.167.


Spinners
JP




This particular spinner has three colors. However, each color is not equally likely to be
the result of a spin, since the portions are not the same size.
Since the blue is half of the spinner, P(blue) = 1/2. The red and yellow make up the
other half of the spinner and are the same size. Thus, P(red) = P(yellow) = 1/4.
Suppose there are two freshmen, one sophomore, and one junior in a study group. You
want to select one person. The P(F) = 2/4 = 1/2; P(S) = 1/4; and P(J) = 1/4, just like the
spinner.

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