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Review Integrative Assessment - SMAT121 Flashcards | StudBud
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Review Integrative Assessment - SMAT121
Review Integrative Assessment - SMAT121
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1
If a six-sided die is rolled, what is the probability of rolling an even number?
1/3
1/6
2/3
1/2
2
Which of the following best describes an experiment in probability?
A process with no uncertainty
A process that leads to a well-defined outcome
A process that leads to a certain outcome
A process that produces the same result every time
3
The expected value of a random variable represents:
The highest possible value
The sum of all possible values
The average outcome in the long run
The most frequent outcome
4
The shape of a normal distribution is:
Uniform
Bell-shaped and symmetric
Skewed left
Skewed right
5
Male heights follow a normal distribution (μ=175, σ=8 cm). Find P(167≤X≤183).
0.95449
0.68268
0.34458
0.997356
6
The probability that a random variable takes a specific value is always:
Exactly 0
Greater than 1
Exactly 1
Between 0 and 1
7
In a standardized test (normally distributed) with a μ = 100 and a σ= 15. What % of students scored between 85 and 115?
99.7%
68%
34%
95%
8
If an event has a probability of 0.4, what is the probability of its complement?
0.2
0.6
0.4
1.0
9
If X is a discrete random variable, what is P(X = 3) for a valid probability distribution?
Any real number
Always 0
Greater than 1
A value between 0 and 1
10
Descriptive statistics primarily involve:
Making predictions about a population
Testing hypotheses
Estimating parameters from a sample
Summarizing and organizing data
11
The normal distribution is characterized by which two parameters?
Median and mode
Variance and range
Mean and standard deviation
Probability and density
12
What is the primary purpose of statistics?
To make informed decisions based on data
All of the above
To collect and organize data
To analyze and interpret data
13
The total area under the normal curve is:
2
Infinite
0.5
1
14
A random variable is said to be discrete if:
It can take on only countable values
It can take on any real number
Its values are unpredictable
It has an infinite number of possible outcomes in a continuous range
15
A random variable X has the following probability distribution: What is P(X≥2)?
1.0
0.6
0.4
0.8
16
Apple weights follow a normal distribution (μ=200g, σ=20g). Find P(X<240).
0.15868
0.02275
0.0500
0.97725
17
The sum of all probabilities in a probability distribution must be:
Between 0 and 2
0
1
Greater than 1
18
What percentage of data falls within
one standard deviation
in a normal distribution?
95%
50%
99.7%
68%
19
A probability mass function (PMF) applies to which type of random variable?
Continuous
Discrete
Neither continuous nor discrete
Both continuous and discrete
20
The sample space of an experiment refers to:
A subset of outcomes from an experiment
The collection of all possible outcomes
The number of successful events in a probability test
The probability of a single event occurring
21
The normal distribution is often used to model:
Categorical variables
Deterministic variables
Discrete random variables
Continuous random variables
22
What happens to the normal distribution when the standard deviation increases?
It shifts to the right
It does not change
It becomes flatter and wider
It becomes steeper
23
Given a normal distribution with μ=50 and σ=10, what is the probability that a randomly selected value is > 60?
0.84134
0.34131
0.5000
0.15866
