Data Science and Machine Learning (Theory and Projects) A to Z - Continuous Random Variables: Probability Density Functi

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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a fundamental characteristic of a probability density function (PDF)?
It can only take values between 0 and 1.
It must always be negative.
It must be a constant function.
It is always non-negative.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which statement is true about the values a PDF can take?
A PDF cannot exceed the value of 1.
A PDF is always equal to 1.
A PDF must always be less than 0.5.
A PDF can exceed the value of 1.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of the area under the curve of a PDF?
It determines the mean of the distribution.
It can be any positive value.
It indicates the variance of the distribution.
It must be equal to 1 for a valid PDF.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the normalization condition for a PDF?
The total area under the curve must be less than 1.
The total area under the curve must be 0.
The total area under the curve must be greater than 1.
The total area under the curve must be 1.
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is NOT a requirement for a valid PDF?
The PDF can take values greater than 1.
The PDF must be a linear function.
The total area under the curve must be 1.
The PDF must be non-negative.
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