Math problem. The price of a community pool membership has a one time sign up fee and monthly fee. The price can be modeled by t
2 answers:
Answer: In the given function the slope (m)=20
It represents the change in price of a community pool membership with respect to the change in number of months.
Step-by-step explanation:
Given: The price of a community pool membership has a one time sign up fee and monthly fee.
The price can be modeled by the function , where x is the number of months.
We know that the equation of line is , where m is the slope of the line which shows the rate of change of y with respect to the change of x.
In the given function the slope (m)=20
It represents the change in price of a community pool membership with respect to the change in number of months.
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Answer:
a)
And we can use the probability mass function and we got:
And adding we got:
b)
c)
And replacing we got:
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
We want this probability:
And we can use the probability mass function and we got:
And adding we got:
Part b
We want this probability:
And using the probability mass function we got:
Part c
We want this probability:
We can use the complement rule and we got:
And replacing we got:
Part d
The expected value is given by:
And replacing we got: