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It is time to deal with three experiments; they are very similar, so firstly, let's recall some theory.
| Function | Explanation |
|---|---|
binom.pmf(k, n, p) | Calculate the probability to archive exactly k successes among n trials with the probability of success p |
binom.sf(k, n, p) | Calculate the probability to archive k or more successes among n trials with the probability of success p |
binom.cdf(k, n, p) | Calculate the probability to archive k or less successes among n trials with the probability of success p |
Завдання
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Here, it would be best if we coped with several tasks.
- Calculate the probability that among
50unique pictures, exactly5have a defect; the probability that a picture has a defect is25%. - Calculate the probability that at least
9(9 or more) employees are satisfied with their salary if we know that there are20workers in the project. The probability for the positive answer is75%. - Calculate the probability that
6or fewer thefts this month will be revealed; we know that in the specific city, the amount of thefts is10. The probability of revealing is5%.
Рішення
from scipy.stats import binom
# Calculate the probability for pictures
experiment_1 = binom.pmf(k = 5, n = 50, p = 0.25)
# Calculate the probability for employees
experiment_2 = binom.sf(k = 9, n = 20, p = 0.75)
# Calculate the probability for thefts
experiment_3 = binom.cdf(k = 6, n = 10, p = 0.05)
# Print the probability for pictures
print("The probability is", experiment_1)
# Print the probability for employees
print("The probability is", experiment_2)
# Print the probability for thefts
print("The probability is", experiment_3)
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Секція 3. Розділ 4
from scipy.stats import binom
# Calculate the probability for pictures
experiment_1 = binom.___(k = 5, ___, p = ___)
# Calculate the probability for employees
experiment_2 = ___.sf(k = ___, n = ___, p = ___)
# Calculate the probability for thefts
experiment_3 = ___(___)
# Print the probability for pictures
print("The probability is", experiment_1)
# Print the probability for employees
print("The probability is", experiment_2)
# Print the probability for thefts
print("The probability is", experiment_3)
