Classify each number below as a rational number or an irrational number
1 answer:
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Answer:
And for this case we want to find this probability:
And we can use the probability mass function and we got:
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".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
Let X the random variable of interest, on this case we now that:
And for this case we want to find this probability:
And we can use the probability mass function and we got:
Let's assume
number of chairs =x
number of tables =y
we are given
Gavin builds furniture for a living. he Sells chairs for $45 and tables for $70 each
So, we can find objective function as
now, we can find inequalities
A table requires 10 hours and $15 worth of supplies to make
so, total hours to make table =10y
amount spent on table =15y
It takes Gavin 4 hours and $10 worth of supplies to build each chair
so, total hours to make chair =4x
amount spent on chair =10x
total number of hours to make chair and table =4x+10y
Gavin wants to work for no more than 40 hours per week
so, we get
spend no more than $80 on materials
so, we get
so,
objective function:
Constraints: