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Determine whether the given procedure results in a binomial distribution. If not, state the reason why.
Rolling a single die 47 times, keeping track of the "fives" rolled.
Not binomial: the trials are not independent
Procedure results in a binomial distribution.
Not binomial: there are more than two outcomes for each trial.
Not binomial: there are too many trials.

Sagot :

Answer:

2nd Option: Procedure results in a binomial distribution.

Step-by-step explanation:

The given procedure does result in a binomial distribution because:

  • There are a fixed amount of trials (47 rolls)
  • Each trial is independent (keeping track of how many 5s EACH roll)
  • There is only either a success or failure outcome (5 or no 5)
  • The probability remains constant throughout the procedure (1/6)
  • There is no interval (again, keeping track of how many 5s you get)
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