UNIT 2: ELEMENTS OF PROBABILITY AND RANDOM VARIABLES
Remarks on the Concept of Probability
Symmetrical outcomes
o EX: 2 possible outcomes for tossing a fair coin seem not to be distinguishable in any
QUIZ 3
A college admissions officer takes a simple random sample of 120 entering freshmen and computes their
mean mathematics SAT score to be 448. Assume the population standard deviation is
Based on
CONDITIONAL PROBABILITY AND INDEPENDENCE
CHECKPOINT 1
P 131
Thefirstthreequestionsrefertothefollowinginformation:
Step1of1
Supposeabasketballteamhadaseasonofgameswiththefollowingcharacteristics:
60%of
SAMPLING DISTRIBUTIONS CHECKPOINT 2
P 183
Step1of1
Question 1 of 5Points: 10 out of 10
Thelengthofhumanpregnancyisknowntohavemeanlengthof268days.A
randomsampleof64pregnantwomenwasselectedanditwasfound
FINAL REVIEW
The dean at a university believes that the grade point average varies across freshman,
sophomore, junior, and senior years. She takes a random sample of 25 students from each year
and loo
EXAMINING DISTRIBUTIONS CHECKPOINT 1
P 28
Thefollowing5questionsrelatetothesamehistogram,shownbelow.
Step1of1
Question 1 of 6Points: 10 out of 10
Thehistogrambelowdisplaysthedistributionofexamscoresfo
Use the normal approximation to find the indicated probability. The sample size
is n, the population proportion of successes is p, and x is the number of
successes in the sample.
n = 76, p = 0.45: P(2
Question1
Correct
5.00 points out of 5.00
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Question text
For a particular diamond mine, 76% of the diamonds fail to
qualify as "gemstone grade". A random sample of 96 diamonds is
analysed
INTRODUCTION TO ESTIMATION
A poll may seek to estimate the proportion of adult residents of a city that support a
proposition to build a new sports stadium. Out of a random sample of 200 people, 106 s
Determine which of the following describes nominal data.
i. Michaelangelo's sells small, medium, large, and jumbo pizzas.
ii. Michaelangelo's most-requested toppings are pepperoni, black olives, and
m
One hundred students are shown an eight-digit number on a piece of cardboard for
three seconds and are asked to then recite the number from memory. The process is
repeated until the student accurately
The letters "A", "B", "C", "D", "E", and "F" are written on six slips of paper, and the
slips are placed into a hat. If the slips are drawn randomly without replacement, what
is the probability that "
Section 2 - Classical Probability Model
2.1.1: Events, Sample Spaces, and Probability
Learning Objectives
1. Define symmetrical outcomes
2. Distinguish between frequentist and subjective approaches
3.
Introduction to Probability | Acrobatiq
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MODU
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MODULE
SAMPLING
SAMPLING CHECKPOINT
Step 1 o
Module Finding Probability of Events
Probability Checkpoint 1
Step 1 of 1
Question 1 of 4 Points: 10 out of 10
A family plans to have 3 children. For each birth, assume that the probability of a boy i
Module Random Variables
Random Variables Checkpoint 2
Step 1 of 1
Question 1 of 2 Points: 10 out of 10
The number of people in a car that crosses a certain bridge is represented by the random variable
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MODULE
DESIGNING STUDIES
DESIGNING STUDIES C
Module Conditional Probability and Independence
Conditional Probability and Independence
Checkpoint 1
Step 1 of 1
The first three questions refer to the following information:
Suppose a basketball tea
Conditional Probability and Independence
Conditional Probability and Independence
Checkpoint 2
Step 1 of 1
Question 1 of 5 Points: 10 out of 10
These days with the cost of a college education it is im
Module Random Variables
Random Variables Checkpoint 1
Step 1 of 1
The first three questions refer to the following information:
The random variable X, representing the number of accidents in a certain
Module Random Variables
Random Variables Checkpoint 3
Step 1 of 1
These three questions refer to the following information:
Color-blindness is any abnormality of the color vision system that causes a
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TOPIC
EXPLORATORY DATA ANALYSIS INTRODUCTION
RANDOM VARIABLES CHECKPOINT 3
Step 1 of 1
These three questions refer to the following information:
Color-blindness is any abnormality of the color vision system that causes a person to see colors
dif
RANDOM VARIABLES CHECKPOINT 2
Step 1 of 1
Question 1 of 2Points: 10 out of 10
The number of people in a car that crosses a certain bridge is represented
by the random variable X, which has a mean valu
RANDOM VARIABLES CHECKPOINT 1
Step 1 of 1
The first three questions refer to the following information:
The random variable X, representing the number of accidents in a certain intersection in a week,
CONDITIONAL PROBABILITY AND INDEPENDENCE
CHECKPOINT 1
Step 1 of 1
The first three questions refer to the following information:
Suppose a basketball team had a season of games with the following
chara
CONDITIONAL PROBABILITY AND INDEPENDENCE
CHECKPOINT 2
Step 1 of 1
Question 1 of 5 Points: 10 out of 10
Dogs are inbred for such desirable characteristics as blue eye color; but an
unfortunate by-produ