Answer:
The result of the integration is
Step-by-step explanation:
Integration of a power of x:
The integration of a power of x is:
In this question:
. So
The result of the integration is
Samantha is using a 2 liter pitcher to serve lemonade to 10 of her friends. How many times will she need to fill the pitcher in
order to serve each friend 400 mL of lemonade?
2 answers:
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Answer:
And replacing 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
For this case our random variable is given by:
For this case we want this probability:
And replacing we got: