Lære 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.

Var alt klart?

Tak for dine kommentarer!

Sektion 5. Kapitel 3

single

Spørg AI

Spørg om hvad som helst eller prøv et af de foreslåede spørgsmål for at starte vores chat

Suggested prompts:

Opsummér dette kapitel

Explain code

Explain why doesn't solve task

Awesome!

Completion rate improved to 3.7

Stryg for at vise menuen

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, "%")

Skift til skrivebord for at øve i den virkelige verdenFortsæt der, hvor du er, med en af nedenstående muligheder

Var alt klart?

Tak for dine kommentarer!

Sektion 5. Kapitel 3

single