Data Science and Machine Learning (Theory and Projects) A to Z - Expectations: Sample Mean

What is the primary parameter that defines a Bernoulli distribution?

• Mean

• Variance

• Probability of success

• Standard deviation

What is the main goal of the experiment setup discussed in the video?

• To calculate the standard deviation

• To determine the mode of the distribution

• To connect the average of data with distribution parameters

• To find the variance of random variables

How does the mean of Bernoulli random variables relate to the probability of success?

• It approximates the probability of success

• It is unrelated to the probability of success

• It is always less than the probability of success

• It is always greater than the probability of success

What does the law of large numbers imply about sample averages?

• They become closer to the expected value with more data

• They become more variable with more data

• They become less reliable with more data

• They become unrelated to the expected value with more data

What is the expected value of a geometric random variable?

• Equal to the probability of success

• Equal to the mean of the data

• Different from the probability of success

• Equal to the variance of the data

In the context of geometric random variables, what is necessary to relate the average to the expected value?

• Calculating the median

• Calculating the expected value

• Calculating the mode

• Calculating the variance

What does the average of a binomial random variable depend on?

• The mode of the distribution

• The standard deviation

• The number of trials and probability of success

• The variance of the distribution

How does changing the number of Bernoulli trials affect the binomial random variable's average?

• It changes the average

• It becomes unrelated to the expected value

• It remains constant

• It decreases the average

What is the relationship between the average of binomial random variables and the probability of success?

• The average is always greater than the probability of success

• The average is influenced by the probability of success

• The average is unrelated to the probability of success

• They are always equal

What will the next video focus on regarding random variables?

• Calculating the mode

• Exploring expected values of various random variables

• Finding the standard deviation

• Determining the median