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Calculate the probability that a random sample is within 1.37 standard deviations of the mean using Python.

Answer :

Final answer:

In Python, the scipy.stats module can be used to calculate the probability of a sample being within a certain number of standard deviations from the mean. The norm.cdf function can be used for this purpose.

Explanation:

In Python, you can use the scipy.stats module to calculate the probability of a random sample falling within a certain number of standard deviations of the mean. The norm.cdf function can be used for this purpose. Here's a sample code:

import scipy.stats as stats

# Assume mean = 0 and std_dev = 1

mean = 0

std_dev = 1

sample_value = 1.37

# Calculate probability

prob = stats.norm.cdf(sample_value, mean, std_dev)

This code calculates the cumulative distribution function up to 1.37 standard deviations. It returns the probability that a random sample drawn from a normal distribution with the specified mean and standard deviation falls within 1.37 standard deviations of the mean.

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