Statistics & Probability Exam

What is a random variable?

• A variable that takes on random values

• A variable that remains constant

• A variable with no value assigned

• A variable that is predetermine

In a probability distribution for a discrete random variable, what does the sum of all probabilities equal to?

• 0

• 1

• 2

• 10

What type of random variable is typically represented by a probability distribution?

• Continuous

• Discrete

• Mixed

• None of the above

What does the term 'computes probabilities' refer to in the given text?

• Finding the mean value

• Determining chances of events occurring

• Calculating standard deviation

• Measuring variability of data

Which mathematical measure describes the spread or dispersion of a discrete random variable?

• Median

• Range

• Mean

• Variance

Which of the following best describes a normal random variable?

• A variable that can take on any real value within a specified range

• A variable that follows a normal distribution

• A variable with only two possible outcomes

• A variable that is constant over time

What is the primary purpose of random sampling?

• To ensure every individual in the population has an equal chance of being selected

• To select participants based on specific criteria

• To only include participants who meet certain qualifications

• To gather data from a large number of people

What is a key characteristic of random sampling?

• Selecting individuals based on their characteristics

• Ensuring a systematic selection process

• Using a predetermined sampling frame

• Every member of the population has an equal chance of being selected

What does the sampling distribution of the sample mean refer to?

• Distribution of the sample

• Distribution of the sample mean

• Distribution of the population

• Distribution of the sample variance

Which statistic is commonly used in analyzing the sampling distribution?

• Median

• Mode

• Standard Deviation

• Sample Mean