Bernoulli Trials (Leaving Cert Mathematics): Quizzes

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Bernoulli Trials
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12 questions from this quiz

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How many possible outcomes does a Bernoulli trial have?

Exactly two

If the probability of success in a Bernoulli trial is pp, what is qq?

q=1−pq = 1 - p

Which characteristic must hold for all Bernoulli trials?

Probability of success remains constant

How does one Bernoulli trial affect another?

It does not affect another

What is the formula for exactly kk successes in nn trials?

(nk)pkqn−k\binom{n}{k} p^k q^{n-k}

What does (nk)\binom{n}{k} equal?

n!k!(n−k)!\frac{n!}{k!(n-k)!}

What is the formula for first success on the nn-th trial?

qn−1×pq^{n-1} \times p

What is the formula for the kk-th success on the nn-th trial?

(n−1k−1)pkqn−k\binom{n-1}{k-1} p^k q^{n-k}

A coin with p=0.4p = 0.4 is tossed 5 times. What is PP(exactly 2 heads)?

0.34560.3456

A player has 70% success rate. What is PP(first success on 3rd attempt)?

0.0630.063

In P(X=k)=(nk)pkqn−kP(X = k) = \binom{n}{k} p^k q^{n-k}, what does nn represent?

Total number of trials

What type of distribution is based on Bernoulli trials?

Binomial distribution

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