Select all the equivalent ratios of 3:1
2 answers:
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The range of the function f(x) is the set of all values that function f takes.
The domain of the function f(x) is the set of all possible values for x.
From the given graph you can see that the domain is all real numbers,
The maximal y-value that f takes is 3 at x=-1. For all another x from the domain, y is less than 3.
Thus, the range of the given function is
Answer:
Answer:
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:
The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by:
Solution to the problem
Let X the random variable of interest, on this case we now that:
what is the probability that no errors are made?
For this case means that all the questions were correct so we want this probability:
what is the probability that at least one error made?
For this case we want this probability:
And we can use the complement rule:
If there are n questions and the probability of a marking error is p rather than 0.15, give expressions for the probabilities of no errors and at least one error