The average life of a fridge compressor motor is 10 years, with a standard deviation of 2 years. If the manufacturer is willing to replace only 3% of the motor because of failures, how long a guarantee should the manufacturer offer?
Assume that the lives of the motors follow a normal distribution.
An internet outage (internet blackout) in Pulau Pinang occurs according to a Poisson distribution with an average of 3 failures every twenty weeks. Calculate the probability that there will not be more than one failure during a particular week.
(Hint: A Poisson distribution with mean has probability mass function )
A production process produces thousands of temperature transducers. Let denote the number of nonconforming transducers in a sample of size 30 selected at random from the process. Which of the following is a reasonable probability model for ?
Which best describes aggregation in data analysis?
After grouping and aggregating, what typically happens to the number of rows in the dataset?
What will be the output of the following code?
import pandas as pd
data = {'Category': ['A', 'A', 'B', 'B', 'C'], 'Value': [5, 15, 25, 35, 45], 'Score': [2, 4, 6, 8, 10]}
df = pd.DataFrame(data)
result = df.groupby('Category').agg({'Value': 'sum', 'Score': 'mean'})
print(result)
What will be the output of the following code?
import pandas as pd
data = {'Category': ['A', 'A', 'B', 'B', 'C'], 'Subcategory': ['X', 'Y', 'X', 'Y', 'X'], 'Value': [10, 20, 30, 40, 50]}
df = pd.DataFrame(data)
result = df.pivot(index='Category', columns='Subcategory', values='Value')
print(result)
Which statement best describes the relationship between grouping and aggregation in data analysis?
Selecciona el error porcentual correspondiente a la derivada numérica en cada versión.
Selecciona los resultados correspondientes de las derivadas analíticas.