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Discrete and Continuous Exercises
Quiz
•
Mathematics
•
University
•
Practice Problem
•
Hard
+5
Standards-aligned
Mariam Mukhtar
Used 58+ times
FREE Resource
About this resource
This quiz focuses on probability and statistics, specifically covering discrete versus continuous variables, probability distributions, and normal curve analysis. The content is appropriate for grade 12 or college-level statistics courses, as it requires students to distinguish between types of random variables, interpret probability distributions, calculate areas under the normal curve using z-scores, and determine whether given data sets satisfy the requirements of probability distributions. Students need a solid foundation in probability theory, understanding of random variables, familiarity with the standard normal distribution table, and the ability to recognize the properties that define valid probability distributions. The mathematical reasoning involves both conceptual classification skills and computational techniques for working with continuous probability distributions. Created by Mariam Mukhtar, a Mathematics teacher in Malaysia who teaches grade 13. This quiz serves as an excellent tool for formative assessment in probability and statistics units, allowing teachers to quickly gauge student understanding of fundamental concepts before moving to more complex applications. The mix of conceptual and computational questions makes it versatile for use as a warm-up activity to activate prior knowledge, homework practice to reinforce classroom learning, or review material before summative assessments. Teachers can use this quiz to identify students who may need additional support with distinguishing variable types or interpreting standard normal distribution tables. The content aligns with Common Core State Standards S-ID.B.4 for using normal distributions to estimate population percentages and AP Statistics standards covering random variables and probability distributions.
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The time it takes you to drive to school.
Tags
CCSS.HSS.ID.A.1
CCSS.HSS.MD.A.1
CCSS.HSS.MD.A.3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The number of books in your locker.
Tags
CCSS.HSF-LE.A.1B
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The weight of a sumo wrestler
Continuous
Discrete
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The following are discrete random variable EXCEPT:
The number of books in the library
The capacity of water tanks in La Carlota Water District
The number of tourists each day in museum
The number of patients in a hospital
Tags
CCSS.HSS.MD.A.1
CCSS.HSS.MD.A.3
5.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Find the probability the snowfall will be between 3 and 6 inches.
0.2
0.4
0.6
1
Tags
CCSS.7.SP.C.7A
6.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Find the area under the standard normal curve where z < 2.42 .
Tags
CCSS.HSS.ID.A.4
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Find the area to the right of z= -1.02
Tags
CCSS.HSS.ID.A.4
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