Probability and Statistics Quiz

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Questions and Answers

What is the probability of drawing one white ball and one black ball in that order, when two balls are drawn from a bag containing 7 white and 9 black balls with replacement?

  • 0.19 (correct)
  • 0.5
  • 0.36
  • 0.25

What is the probability of rolling an even number when a die is thrown once?

  • 1/3
  • 2/3
  • 1/2 (correct)
  • 1/6

If the mean of a binomial distribution is 3 and the variance is 1.5, what is the probability of at least four successes?

  • 0.10
  • 0.32
  • 0.05 (correct)
  • 0.22

What are the correct null and alternative hypotheses in hypothesis testing?

<p>Null: X = 0; Alternative: X ≠ 0 (D)</p> Signup and view all the answers

What is the value of a in the given probability distribution if the total probability must equal 1?

<p>1/45 (B)</p> Signup and view all the answers

Flashcards

Probability with Replacement

The probability of an event happening when the outcome of the first event does not affect the probability of the second event.

Probability without Replacement

The probability of an event happening when the outcome of the first event changes the probability of the second event.

Alternative Hypothesis

A statistical test that aims to disprove a null hypothesis. The alternative hypothesis suggests a different outcome from the null hypothesis.

Null Hypothesis

A statistical test that proposes a statement about a population parameter.

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Standard Deviation

A measure of the spread or variability of a data set.

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