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Answer:
Let X the random variable of interest "number of cars with side airbags among the next 4", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And the distribution is given by:
With
Step-by-step explanation:
Previous concepts
A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest "number of cars with side airbags among the next 4", on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And the distribution is given by:
With
If you want a polynomial to have the x-intercepts of your choice, you simply have to build a polynomial by multiplying pieces like where
is the x-intercept you want.
So, if you want x-intercepts 0 and 4, you have to build the polynomial