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Poisson Distribution 3/3

As you remember, with the .cdf() function, we can calculate the probability that the random variable will take a value less then or equal a defined number. Look at the example: Example 1/2:

The expected value of sunny days per month is 15. Calculate the probability that the number of sunny days will be less or equal 12.

Python realization:


              12345
            
import scipy.stats as stats

probability = stats.poisson.cdf(12, 15)

print("The probability is", probability * 100, "%")

Example 1/2:

The expected value of sunny days per month is 15. Calculate the probability that the number of sunny days will be less equal the number within the range from 5 to 11 (5; 11].

Python realization:


              1234567891011
            
import scipy.stats as stats


prob_1 = stats.poisson.cdf(11, 15)

prob_2 = stats.poisson.cdf(5, 15)


probability = prob_1 - prob_2

print("The probability is", probability * 100, "%")

When we subtract the second expression from the first, we leave the interval from 11 to 5 exclusive. Thus, using this calculation stats.poisson.cdf(11, 15), we will find the probability that our variable will take a value less than 11. And using this calculation stats.poisson.cdf(5, 15), we will find the probability that our variable will take a value less than or equal to 5.

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Section 5. Chapter 3

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Poisson Distribution 3/3

As you remember, with the .cdf() function, we can calculate the probability that the random variable will take a value less then or equal a defined number. Look at the example: Example 1/2:

The expected value of sunny days per month is 15. Calculate the probability that the number of sunny days will be less or equal 12.

Python realization:


              12345
            
import scipy.stats as stats

probability = stats.poisson.cdf(12, 15)

print("The probability is", probability * 100, "%")

Example 1/2:

The expected value of sunny days per month is 15. Calculate the probability that the number of sunny days will be less equal the number within the range from 5 to 11 (5; 11].

Python realization:


              1234567891011
            
import scipy.stats as stats


prob_1 = stats.poisson.cdf(11, 15)

prob_2 = stats.poisson.cdf(5, 15)


probability = prob_1 - prob_2

print("The probability is", probability * 100, "%")

Switch to desktop for real-world practiceContinue from where you are using one of the options below

Everything was clear?

Thanks for your feedback!

Section 5. Chapter 3

Switch to desktop for real-world practiceContinue from where you are using one of the options below