Bernoulli trials (HSC SSCE Mathematics Extension 1): Flashcards
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What is a Bernoulli Trial?
What is a Bernoulli Trial?
An experiment with two outcomes: success or failure.
What does a Bernoulli Random Variable represent?
What does a Bernoulli Random Variable represent?
It takes 1 for success and 0 for failure in trials.
What are the two outcomes in Bernoulli Trials?
What are the two outcomes in Bernoulli Trials?
Success and failure are the two possible outcomes.
What is the importance of Bernoulli Trials?
What is the importance of Bernoulli Trials?
They help understand the binomial distribution.
What characterizes the independence of trials?
What characterizes the independence of trials?
One trial's outcome does not affect another's.
What is the expected value formula for Bernoulli?
What is the expected value formula for Bernoulli?
E(X) = p, where p is the probability of success.
What is the variance formula for Bernoulli?
What is the variance formula for Bernoulli?
Var(X) = p(1-p), showing outcome variability.
Is rolling a die a Bernoulli Trial?
Is rolling a die a Bernoulli Trial?
No, it has more than two outcomes.
What is an example of a Bernoulli Trial?
What is an example of a Bernoulli Trial?
A coin toss with heads as success and tails as failure.
What is a non-example of Bernoulli Trials?
What is a non-example of Bernoulli Trials?
Choosing transport type with multiple options.