Mesin Formula 1

Misalkan ada dua produsen, A dan B, yang memasok mesin untuk mobil balap Formula 1, dengan karakteristik berikut:

99% mesin dari pabrik A bertahan lebih dari 5.000 km.
Pabrik B memproduksi mesin yang bertahan lebih dari 5.000 km dengan probabilitas 95%.
70% mesin berasal dari produsen A, dan sisanya diproduksi oleh produsen B.

Berapa peluang sebuah mesin akan bertahan lebih dari 5.000 km?

Latihan ini adalah bagian dari kursus

Dasar-Dasar Probabilitas di Python

Petunjuk latihan

Hitung probabilitas berikut:
- Produsennya adalah A (P_A).
- Mesin bertahan lebih dari 5.000 km dengan syarat produsennya A (P_last5000_g_A).
- Produsennya adalah B (P_B).
- Mesin bertahan lebih dari 5.000 km dengan syarat produsennya B (P_last5000_g_B).
Gunakan hukum probabilitas total untuk menghitung probabilitas bahwa mesin akan bertahan lebih dari 5.000 km dan simpan hasilnya ke dalam P_last_5000.

Latihan interaktif praktis

Cobalah latihan ini dengan menyelesaikan kode contoh berikut.

# Needed probabilities
P_A = ____
P_last5000_g_A = ____
P_B = ____
P_last5000_g_B = ____

# Total probability calculation
P_last_5000 = ____

print(P_last_5000)

Edit dan Jalankan Kode

Latihan ini adalah bagian dari kursus

Dasar-Dasar Probabilitas di Python

SkillTag.level.intermediateSkillTag.label

4.8+

Mulai Kursus Gratis

A coin flip is the classic example of a random experiment. The possible outcomes are heads or tails. This type of experiment, known as a Bernoulli or binomial trial, allows us to study problems with two possible outcomes, like “yes” or “no” and “vote” or “no vote.” This chapter introduces Bernoulli experiments, binomial distributions to model multiple Bernoulli trials, and probability simulations with the scipy library.

Exercise 1: Let’s flip a coin in Python Exercise 2: Flipping coins Exercise 3: Using binom to flip even more coins Exercise 4: Probability mass and distribution functions Exercise 5: Predicting the probability of defects Exercise 6: Predicting employment status Exercise 7: Predicting burglary conviction rate Exercise 8: Expected value, mean, and variance Exercise 9: Calculating the expected value and variance Exercise 10: Calculating the sample mean Exercise 11: Checking the result Exercise 12: Calculating the mean and variance of a sample

In this chapter you'll learn to calculate various kinds of probabilities, such as the probability of the intersection of two events and the sum of probabilities of two events, and to simulate those situations. You'll also learn about conditional probability and how to apply Bayes' rule.

Exercise 1: Menghitung probabilitas dua kejadian Exercise 2: Ada tumpang tindih?Exercise 3: Mengukur sebuah sampel Exercise 4: Probabilitas gabungan Exercise 5: Setumpuk kartu Exercise 6: Probabilitas bersyarat Exercise 7: Penerbangan tertunda Exercise 8: Tabel kontingensi Exercise 9: Lebih banyak kartu Exercise 10: Hukum probabilitas total Exercise 11: Mesin Formula 1

Latihan Saat Ini

Exercise 12: Pemilih Exercise 13: Aturan Bayes Exercise 14: Pengkondisian Exercise 15: Pabrik dan suku cadang Exercise 16: Tes darah flu babi

Until now we've been working with binomial distributions, but there are many probability distributions a random variable can take. In this chapter we'll introduce three more that are related to the binomial distribution: the normal, Poisson, and geometric distributions.

Exercise 1: Normal distributions Exercise 2: Range of values Exercise 3: Plotting normal distributions Exercise 4: Within three standard deviations Exercise 5: Normal probabilities Exercise 6: Restaurant spending example Exercise 7: Smartphone battery example Exercise 8: Adults' heights example Exercise 9: Poisson distributions Exercise 10: ATM example Exercise 11: Highway accidents example Exercise 12: Generating and plotting Poisson distributions Exercise 13: Geometric distributions Exercise 14: Catching salmon example Exercise 15: Free throws example Exercise 16: Generating and plotting geometric distributions

No that you know how to calculate probabilities and important properties of probability distributions, we'll introduce two important results: the law of large numbers and the central limit theorem. This will expand your understanding on how the sample mean converges to the population mean as more data is available and how the sum of random variables behaves under certain conditions. We will also explore connections between linear and logistic regressions as applications of probability and statistics in data science.

Exercise 1: From sample mean to population mean Exercise 2: Generating a sample Exercise 3: Calculating the sample mean Exercise 4: Plotting the sample mean Exercise 5: Adding random variables Exercise 6: Sample means Exercise 7: Sample means follow a normal distribution Exercise 8: Adding dice rolls Exercise 9: Linear regression Exercise 10: Fitting a model Exercise 11: Predicting test scores Exercise 12: Studying residuals Exercise 13: Logistic regression Exercise 14: Fitting a logistic model Exercise 15: Predicting if students will pass Exercise 16: Passing two tests Exercise 17: Wrapping up