Bernoulli Sequences and the Binomial Probability Distribution (VCE SSCE Mathematical Methods): Quizzes

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Bernoulli sequences and the binomial probability distribution
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How many conditions must be satisfied for a sequence to be a Bernoulli sequence?

Three conditions

Which property requires each trial outcome not to affect other trial outcomes?

Independence

What does a binomial random variable count?

Number of successes in nn trials

In the notation XBi(n,p)X \sim \text{Bi}(n, p), what does pp represent?

Probability of success

What is the formula for binomial probability Pr(X=x)\text{Pr}(X = x)?

(nx)px(1p)nx\binom{n}{x}p^x(1-p)^{n-x}

In the binomial formula, what does (nx)\binom{n}{x} count?

Number of ways to arrange xx successes

In the binomial formula, what does pxp^x represent?

Probability of xx successes

Which calculator function computes exact binomial probabilities?

binomPdf

Which calculator function is used for cumulative binomial probabilities?

binomCdf

What is the conditional probability formula Pr(AB)\text{Pr}(A|B) equal to?

Pr(AB)Pr(B)\frac{\text{Pr}(A \cap B)}{\text{Pr}(B)}

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