contestada

Which of the following is NOT an example of a binomial distribution?




A.)
The probability of rolling a die three times and never rolling a 5.




B.)
The probability of a basketball player making a free throw six times in eight attempts.




C.)
The probability of drawing a card and getting a red or face card.




D.)
The probability of a dart player hitting the bullseye three times in eight attempts.

Respuesta :

This question is solved using binomial distribution concepts:

Doing this, we get that C.)  The probability of drawing a card and getting a red or face card is not an example of a binomial distribution.

Binomial distribution:

  • Each trial, only two possible outcomes.
  • Independent trials, that is, in each trial, same probability of a success.
  • Fixed number of trials.

Option a:

  • Each trial, either a 5 is rolled or not, so yes, two outcomes.
  • Each trial, same probability of not rolling a 5 in each trial, so independent.
  • 3 trials, so fixed.

Option b:

  • Each trial, either the player makes the free throw or misses, so yes, two outcomes.
  • Each trial, same probability of a making a free throw, so independent.
  • 8 trials, so fixed.

Option c:

  • Each trial, either draws a red or face or not, so yes, two outcomes.
  • Cards are chosen without replacement, which means that for each trial there are different probabilities, so trials are not independent, and this is not a binomial experiment, being the correct option.

Option d:

  • Each trial, either hits the bullseye or not, so yes, two outcomes.
  • Each trial, same probability of hitting the bullseye, so yes, independent.
  • 8 trials, so fixed.

Thus, option c is the answer.

A similar question is found at https://brainly.com/question/22514442

Otras preguntas