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STAT #1

STAT #1

Assessment

Presentation

Mathematics

11th Grade

Practice Problem

Hard

Created by

Victor Jr.

Used 1+ times

FREE Resource

23 Slides • 22 Questions

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Multiple Choice

Which of the following best describes a random variable?

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A variable whose value is determined by chance

2

A variable that always has a fixed value

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A variable that can only take positive values

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A variable that is always continuous

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Open Ended

Why do you think understanding random variables is important in real-life situations?

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Multiple Choice

Which of the following best defines a sample space in probability?

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The set of all possible outcomes of an experiment

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The most likely outcome of an experiment

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The outcome with the highest probability

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The set of all favorable outcomes

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Open Ended

If three coins are tossed, what numbers can be assigned for the frequency of heads that will occur?

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Multiple Select

Which of the following are possible outcomes when three cell phones are tested for defects?

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NNN

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NND

3

DDD

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NDN

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Fill in the Blanks

Type answer...

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Open Ended

Explain how the concept of random variables helps in assigning values to outcomes in a sample space. Use the example of testing three cell phones for defects.

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Multiple Choice

Based on the table, what value does the random variable X take for the outcome 'DND'?

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1

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3

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0

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Multiple Choice

What is a random variable?

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A variable that always takes the same value

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A function that associates a real number to each element in the sample space

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A variable whose values are always integers

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A function that only works with heads in coin tosses

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Open Ended

Explain the steps to determine the values of a random variable in a coin tossing experiment.

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Multiple Choice

After tossing three coins, what are the possible values that the random variable Y (number of tails) can take?

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0, 1, 2, 3

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1, 2, 3, 4

3

0, 1, 2

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1, 2, 3

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Multiple Select

Which of the following are possible outcomes when two balls are drawn from an urn containing red and blue balls?

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RR

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RB

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BB

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BR

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Fill in the Blanks

Type answer...

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Fill in the Blanks

Type answer...

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Multiple Choice

Which of the following best describes a discrete random variable?

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A variable that can take any value on a continuous scale

2

A variable whose possible outcomes are countable

3

A variable that cannot be measured

4

A variable that only takes negative values

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Multiple Choice

Which of the following scenarios best illustrates a discrete random variable?

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The time taken for a chemical reaction to complete

2

The number of students absent in a class

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The temperature recorded at noon

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The distance a car travels on a full tank

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Multiple Select

Which of the following are examples of continuous random variables?

1

Number of defective chairs produced in a factory

2

Heights of students in a class

3

Number of heads in a coin toss

4

Weights of apples

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Open Ended

Suppose you are conducting an experiment to measure the amount of rainfall in a city over a month. Is the amount of rainfall a discrete or continuous random variable? Justify your answer.

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Open Ended

Classify the following random variables as discrete or continuous. a) the number of defective computers produced by a manufacturer b) the weight of newborns each year in a hospital c) the number of siblings in a family of a region d) the amount of paint utilized in a building project e) the number of dropout in a school district for a period of 10 years

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Multiple Select

Select all statements that correctly describe discrete and continuous random variables.

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Discrete random variables represent count data and have countable outcomes.

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Continuous random variables take values on a continuous scale and represent measured data.

3

Discrete random variables can only take values between 0 and 1.

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Continuous random variables are always integers.

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Open Ended

What questions do you still have about random variables or their classification as discrete or continuous?

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Multiple Choice

Which of the following is NOT an objective of this lesson on random variables?

1

Illustrate a random variable

2

Classify random variables as discrete or continuous

3

Find the possible values of a random variable

4

Calculate the mean of a random variable

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