Біноміальний розподіл
It is time to figure out what Binomial distribution is.
To work with this distribution, we should import the binom
object from scipy.stats
, and then you can apply numerous functions to this distribution like pmf
, sf
, and cdf
that were already learned.
Key characteristics:
This distribution is the same as the Bernoulli distribution, which is repeated several times.
Example:
Tossing a coin is a Bernoulli distribution, but tossing one coin 3 times creates a binomial distribution.
By the way, Y-axis defines the probability in percents, for the better understanding(in this chapter and the next).
Do you remember the function .cdf()
? The function shows the probability of having k
or fewer successes among n
trials with the defined probability p
. It is time to recall it!
Swipe to start coding
Imagine you passing a test that includes 12
questions; there are just two answers for each question (one of them is correct, another isn't correct). The probability of getting the right answer is 50%
or 0.5
. Here is the distribution:
You have excellent marks, and you know that if you receive less than 6
or exactly 7
points, you will spoil it.
- Import
binom
object. - Calculate the probability of receiving
6
or less points in the test where the probability of answering right is0.5
and the number of questions is12
. - Calculate the probability of receiving exactly
7
points in the test where the probability of answering right is0.5
and the number of questions is12
. - Calculate the whole probability.
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It is time to figure out what Binomial distribution is.
To work with this distribution, we should import the binom
object from scipy.stats
, and then you can apply numerous functions to this distribution like pmf
, sf
, and cdf
that were already learned.
Key characteristics:
This distribution is the same as the Bernoulli distribution, which is repeated several times.
Example:
Tossing a coin is a Bernoulli distribution, but tossing one coin 3 times creates a binomial distribution.
By the way, Y-axis defines the probability in percents, for the better understanding(in this chapter and the next).
Do you remember the function .cdf()
? The function shows the probability of having k
or fewer successes among n
trials with the defined probability p
. It is time to recall it!
Swipe to start coding
Imagine you passing a test that includes 12
questions; there are just two answers for each question (one of them is correct, another isn't correct). The probability of getting the right answer is 50%
or 0.5
. Here is the distribution:
You have excellent marks, and you know that if you receive less than 6
or exactly 7
points, you will spoil it.
- Import
binom
object. - Calculate the probability of receiving
6
or less points in the test where the probability of answering right is0.5
and the number of questions is12
. - Calculate the probability of receiving exactly
7
points in the test where the probability of answering right is0.5
and the number of questions is12
. - Calculate the whole probability.
Рішення
Дякуємо за ваш відгук!
Awesome!
Completion rate improved to 3.7single