Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

An English teacher has equal numbers of fiction, literature, and poetry books. Each day, she randomly selects one book to read from. She designs a simulation to estimate the probability that the next three books she selects are all literature. Which simulation design could she use to estimate the probability?​

Sagot :

Using probability concepts, it is found that she could use a binomial distribution with [tex]n = 3[/tex] and [tex]p = \frac{1}{3}[/tex] to estimate the probability that the next three books she selects are all literature.

For each book she selects, there are only two possible outcomes, either it is a literature book, or it is not. The probability of a book selected being a literature book is independent of any other book, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • Next three books selected, hence [tex]n = 3[/tex].
  • She has an equal number of fiction, literature, and poetry books, hence, the probability of each book selected being a literature book is [tex]p = \frac{1}{3}[/tex]

Hence, she could use a binomial distribution with [tex]n = 3[/tex] and [tex]p = \frac{1}{3}[/tex] to estimate the probability that the next three books she selects are all literature.

You can learn more about the binomial distribution at https://brainly.com/question/24863377

Answer:

Number Cube

Let 1, 6= Literature

Let 2, 4= Fiction

Let 3, 5= Poetry

Roll the cube 3 times, Repeat

It has to be equal probability for all three

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.