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1. Determine whether the given procedure results in a binomial distribution. If not, state the reason why.
Rolling a single die 53 times, keeping track of the "fives" rolled.
A) Not binomial: there are too many trials.
B) Not binomial: there are more than two outcomes for each trial.
C) Not binomial: the trials are not independent.
D) Procedure results in a binomial distribution.
2. Determine whether the given procedure results in a binomial distribution. If​ not, state the reason why.
Spinning a roulette wheel 7​ times, keeping track of the winning numbers.
A) Not binomial: there are more than two outcomes for each trial.
B) Procedure results in a binomial distribution.
C) Not binomial: there are too many trials.
D) Not binomial: the trials are not independent.

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akiran007

Answer:

1.D) Procedure results in a binomial distribution.

2. B) Procedure results in a binomial distribution.

Step-by-step explanation:

The binomial distributions has following properties.

  • There is always one of the  two outcomes success or failure possible.
  • The probability of p remains constant for all trials.
  • The successive trials are all independent.
  • The experiment is repeated for a fixed number of times.

If the experiment has the above properties it has binomial probability distribution.

In the given question both experiments have the above mentioned properties.

Both procedure result in binomial distribution.

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