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Questions and Answers
What is the formula to calculate the standard deviation of a probability distribution?
What is the formula to calculate the standard deviation of a probability distribution?
- √∑(𝑿 − 𝝁)𝟐
- √∑(𝑿 − 𝝁)𝟐 ∙ 𝑷(𝑿) (correct)
- √∑(𝑿 − 𝝁)𝟐 / 𝑷(𝑿)
- ∑(𝑿 − 𝝁)𝟐
What is the purpose of Step 3 in finding the mean, variance, and standard deviation of a probability distribution?
What is the purpose of Step 3 in finding the mean, variance, and standard deviation of a probability distribution?
- Find the mean (correct)
- Find the square root of the variance
- Subtract the computed mean from each value of random variable
- Square the result
In Step 4 of the process, what does 𝝁 represent?
In Step 4 of the process, what does 𝝁 represent?
- Computed mean (correct)
- Standard deviation
- Random variable
- Variance
What is the purpose of Step 8 in the process of finding the standard deviation?
What is the purpose of Step 8 in the process of finding the standard deviation?
To calculate the standard deviation, what needs to be done in Step 6 of the process?
To calculate the standard deviation, what needs to be done in Step 6 of the process?
What does the standard deviation of a random variable measure?
What does the standard deviation of a random variable measure?
What is the formula for the standard deviation of a discrete probability distribution?
What is the formula for the standard deviation of a discrete probability distribution?
What is the next step after multiplying each value of X by its corresponding probability value in finding the standard deviation?
What is the next step after multiplying each value of X by its corresponding probability value in finding the standard deviation?
How is the variance calculated in the context of a probability distribution?
How is the variance calculated in the context of a probability distribution?
What is the purpose of squaring $(X-\mu)$ in finding the standard deviation?
What is the purpose of squaring $(X-\mu)$ in finding the standard deviation?
What does it mean if the variance of a probability distribution is zero?
What does it mean if the variance of a probability distribution is zero?
What is the formula for computing the mean of a discrete probability distribution?
What is the formula for computing the mean of a discrete probability distribution?
What does the variance of a discrete random variable measure?
What does the variance of a discrete random variable measure?
In finding the mean of a discrete probability distribution, what do you do after constructing the probability distribution?
In finding the mean of a discrete probability distribution, what do you do after constructing the probability distribution?
What should you do first when finding the variance of a discrete probability distribution?
What should you do first when finding the variance of a discrete probability distribution?
How is the variance calculated in a discrete probability distribution?
How is the variance calculated in a discrete probability distribution?
Which step is crucial in determining the spread of a discrete random variable's distribution?
Which step is crucial in determining the spread of a discrete random variable's distribution?
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