Given f(x) = 3x^3 + kx + 1, and x – 1 is a factor of f(x), then what is the value of k?
2 answers:
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Answer:
a) Our random variable X="number of tests taken until the individual passes" follows a geomteric distribution with probability of success p=0.25
For this case the probability mass function would be given by:
b)
And adding the values we got:
c)
And we can find the individual probabilities:
Step-by-step explanation:
Previous concepts
The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"
Let X the random variable that measures the number of trials until the first success, we know that X follows this distribution:
Part a
Our random variable X="number of tests taken until the individual passes" follows a geomteric distribution with probability of success p=0.25
For this case the probability mass function would be given by:
Part b
We want this probability:
We find the individual probabilities like this:
And adding the values we got:
Part c
For this case we want this probability:
And we can use the complement rule like this:
And we can find the individual probabilities: