A researcher uses an anonymous survey to investigate the study habits of American college students. Based on the set of 56 surve
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Using the binomial distribution, it is found that the probabilities are given as follows:
a) 0.5514 = 55.14%.
b) 0.3631 = 36.31%.
c) 0.4082 = 40.82%.
<h3>What is the binomial distribution formula?</h3>The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
Item a:
In this problem, we have p = 0.82, n = 3, and the probability is P(X = 3), hence:
Item b:
In this problem, we have p = 0.82, n = 3, and the probability is P(X = 2), hence:
Item c:
We have to find P(X = 2) for the three probabilities, p = 0.82, p = 0.12, p = 0.05 and add them, hence:
Then:
p = 0.3631 + 0.0380 + 0.0071 = 0.4082.
More can be learned about the binomial distribution at brainly.com/question/24863377
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