2
two; success or failure
A binomial experiment is a experiment that consists of repeated trails, with two possible outcomes. An example of this would be a coin toss.Ê
If the question is about 4 successful outcomes out of 16 trials, when the probability of success in any single trial is 0.20 and independent of the outcomes of other trials, then the answer is, yes, the binomial experiment can be used.
Binomial distribution is learned about in most statistic courses. You could use them in experiments when there are two possible outcomes and each experiment is independent.
A binomial experiment is a probability experiment that satisfies the following four requirements:1. Each trial can have only two outcomes or outcomes that can be reduced to two outcomes. These outcomes can be considered as either success or failure.2. There must be a fixed number of trials.3. The outcomes of each trial must be independent of each other.4. The probability of a success must remain the same for each trial.
The binomial distribution is a discrete probability distribution. The number of possible outcomes depends on the number of possible successes in a given trial. For the Poisson distribution there are Infinitely many.
No. A binomial distribution consists of trials with only two possible outcomes. The experiment described in the question has six - unless the die is so seriously loaded that only two outcomes are possible.
23 or 8 outcomes. In any experiment with two outcomes, if you do the experiment n times there are 2n outcomes. This about each time you roll the coin have two possible outcomes, H or T. So if you roll it 2 times, you have 4 possible outcomes. HH, HT, TH or TT. Do it one more time and you have 8 outcomes. HHH, HHT, HTH, THH TTT TTH THT HTT Notice there are 1 outcome with 3 heads, 1 with 3 tails 3 with two heads 3 with two tails This pattern follow the binomial theorem. The coefficients of the binomial (H+T)3 are 1 3 3 1. The same numbers as we have above!
No.
Is the number of all possible outcomes of an experiment. The number depends on the experiment.
false
It is the set of all possible outcomes of the experiment.