Which statement about sampling is true?

A sample is a subset of a population.

Which of the following scenarios best fits the Poisson distribution?

Counting the number of cars passing through a toll booth per hour

Why are probability distributions important in data science?

They help analyze, model, and predict data patterns

Which of these is an example of a binomial probability situation?

Checking how many of 10 tossed coins land on heads

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Mathematics For Data Science

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Questions 12

Answers

1
What does the normal distribution look like when graphed?
A straight line
A staircase shape
A zigzag pattern
A bell-shaped curve
2
The binomial distribution is used when each trial has how many possible outcomes?
One
Three
Two
Unlimited
3
Which statement about sampling is true?
A sample represents the entire population.
A sample is used to estimate a parameter.
A sample is a subset of a population.
A population is a subset of a sample.
4
A factory tests 100 bulbs and records how many fail. Which probability distribution should they use?
Normal distribution
Binomial distribution
None of the above
Poisson distribution
5
In the normal distribution, where do most of the data points cluster?
Around the mean
On the far left and right
Evenly across the graph
Near the highest value
6
What does the term "mean" refer to in statistics?
The average value of a dataset
The middle value of a dataset
The most frequently occurring value in a dataset
The spread of values in a dataset
7
Which of the following scenarios best fits the Poisson distribution?
Predicting student grades in an exam
Determining the average height of a population
Counting the number of cars passing through a toll booth per hour
Guessing the probability of flipping heads in 10 coin tosses
8
A sample is a subset of a population?
True
False
9
Why are probability distributions important in data science?
They are used only in machine learning
They help analyze, model, and predict data patterns
They ensure all data follows the same pattern
They eliminate uncertainty in data
10
According to the 68-95-99.7 rule, how much data falls within two standard deviations from the mean?
99.7%
50%
95%
68%
11
If an event has a very small probability in a normal distribution, where would it be on the graph?
Near the center
At the highest peak
In the middle 68% range
In the far tails
12
Which of these is an example of a binomial probability situation?
Checking how many of 10 tossed coins land on heads
Counting how many emails a person receives in a day
Rolling a die and getting a specific number
Measuring the heights of students in a classroom

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