What is a function
2 answers:
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Answer:
a)
b)
c)
That correspond to approximately 0.0512%, so then we can conclude that is very unlikely since is <1%
d)
Step-by-step explanation:
Previous concepts
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, 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:
Part a
For this case the expected value for the binomial distribution is given by:
Part b
The variance for the binomial distribution is given by:
And the deviation would be ust the square root of the variance and we got:
Part c
For this case we want this probability:
That correspond to approximately 0.0512%, so then we can conclude that is very unlikely since is <1%
Part d
For this case we want this probability:
If we find the individual probabilities we got:
And if we add the values we got: