Question

Which if the following is a characteristic of a geometric distribution?
Select one:
a. There are more than two possible outcomes.
b. The probability of success is not the same for all trials.
c. There are infinitely many observations.
d. You should perform x trials until you observe a success.
e. Each trial is dependent on the previous trial.

Answer 1

Answer:

d. You should perform x trials until you observe a success

Step-by-step explanation:

In a geometric distribution,there is one or more trials performed will all failures except the first success one.In this theory the number of trials can extend to infinity.There must be at least one.Each trial has the same probability of success or failure.

Answer 2

The geometric distribution is the probability distribution of the number of failures we get by repeating trial of experiment until we obtain the first success.

Therefore, option (d) is correct.

There are three main characteristics of a geometric distribution:

• There are one or more trials with all failures except the last one, which is a success. It means that we perform trials until we get a success.
• There must be at least one trial.
• The probability, p, of a success and the probability, q, of a failure is the same for each trial.

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