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What are four requirements for binomial distribution?
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.
When do you use binomial distribution?
One would use binomial distribution if and only if the experiment satisfies the following conditions1. There is a fixed number of trials.2. Each trial is independent of one another.3. There are only two possible outcomes (a Success or a Failure).4. The probability of success, p, is the same for every trial. An example of an experiment that has a binomial distribution would be a coin toss.1. You would toss the coin a n (a fixed number) times.2. The result of a a previous toss does not affect the present toss (trials are independent).3. There are only two outcomes - Heads or Tails.4. The probability of success (whether a head is considered a success or a tail is considered a success) is constant at 50%.
What is each observation of an experiment?
It could be viewed as a trial.
What is the parameters that determine a Binomial Distribution?
The binomial distribution has two parameter, denoted by n and p. n is the number of trials. p is the constant probability of "success" at each trial.
If an event has a 1 in 4 chance of occurring what is the probability of it happening to one individual in a sample of five?
If we assume that the probability of an event occurring is 1 in 4 and that the event occurs to each individual independently, then the probability of the event occurring to one individual is 0.3955. In order to find this probability, we can make a random variable X which follows a Binomial distribution with 5 trials and probability of success 0.25. This makes sense because each trial is independent, the probability of success stays constant for each trial, and there are only two outcomes for each trial. Now you can find the probability by plugging into the probability mass function of the binomial distribution.
