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A binomial experiment must meet four specific conditions: there are a fixed number of trials, each trial has only two possible outcomes (success or failure), the trials are independent of each other, and the probability of success remains constant across all trials. These conditions ensure that the experiment can be analyzed using the binomial probability formula.

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3mo ago

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Which of the below is not a requirement for binomial experiment?

A binomial experiment requires a fixed number of trials, two possible outcomes (success or failure) for each trial, and independent trials. However, one thing that is not a requirement is that the probability of success must remain constant across trials; this condition holds true in a binomial experiment, but if it changes, it would not disqualify the experiment from being binomial as long as the other conditions are met.


What is an example of a binomial experiment?

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


Are outcomes of binomial experiment dependent on each other?

No, the outcomes of a binomial experiment are considered independent if the probability of success remains the same for each trial and the trials are performed under the same conditions. Each trial's outcome does not influence the outcome of subsequent trials.


How many outcomes are there in a binomial experiment?

2


A binomial experiment has how many outcomes to each trial?

two; success or failure


When is binomial distribution 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.


Can a binomial experiment be used to find the probability of 4 outcomes of .20 and 16?

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.


Which information is needed when classifying a frog using the binomial system?

Genus


Assume that you have a binomial experiment with p 0.5 and a sample size of 100. The expected value of this distribution is?

In a binomial distribution, the expected value (mean) is calculated using the formula ( E(X) = n \times p ), where ( n ) is the sample size and ( p ) is the probability of success. For your experiment, with ( n = 100 ) and ( p = 0.5 ), the expected value is ( E(X) = 100 \times 0.5 = 50 ). Thus, the expected value of this binomial distribution is 50.


A test set up under controlled conditions?

experiment


Is this number a monomial or binomial or trinomial 30x6-1?

Binomial. Binomial. Binomial. Binomial.


Why is it necessary to sterilize all the materials needed in the experiment?

Sterilizing materials in an experiment helps to eliminate any potential contaminants that could interfere with the results or compromise the integrity of the experiment. It ensures that the study is conducted under controlled conditions with minimal variables, improving the accuracy and reliability of the data obtained.