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