Two brothers went shopping at a back-to-school sale where all shirts were the same price, and all the shorts too. The younger br
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Answer:
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:
The mean for the binomial distribution is given by:
And the variance is given by:
And the deviation is just the square root of the variance so we got:
Answer: a= 16
Step-by-step explanation:
We have the following expression:
To find the value of the coefficient "a" you must use the distributive property to multiply the expression:
until you transform it to the form:
Then we have
Therefore the value of a in the polynomial is 16