Normal distribution in SciPy - Cheat Sheet & Quick Revision

Recall & Review

beginner

What is a normal distribution?

A normal distribution is a bell-shaped curve that shows how data points are spread around the mean. Most values are near the mean, and fewer are far away.

beginner

What do the mean and standard deviation represent in a normal distribution?

The mean is the center of the distribution. The standard deviation shows how spread out the data is around the mean.

intermediate

How do you generate random numbers from a normal distribution using scipy?

Use scipy.stats.norm.rvs(loc=mean, scale=std, size=n) to get n random numbers from a normal distribution with given mean and standard deviation.

intermediate

What does the probability density function (PDF) of a normal distribution tell us?

The PDF shows the relative likelihood of different values. Higher PDF means the value is more likely to occur.

intermediate

How can you calculate the cumulative probability up to a value x in a normal distribution?

Use scipy.stats.norm.cdf(x, loc=mean, scale=std) to find the probability that a value is less than or equal to x.

What shape does a normal distribution have?

A Step function

B Uniform line

C Exponential curve

D Bell-shaped curve

A normal distribution is known for its bell-shaped curve centered around the mean.

Which scipy function generates random samples from a normal distribution?

A scipy.stats.norm.rvs()

B scipy.stats.norm.pdf()

C scipy.stats.norm.cdf()

D scipy.stats.norm.mean()

The rvs() function generates random variates (samples) from the normal distribution.

What does the standard deviation control in a normal distribution?

A Spread or width of the distribution

B Height of the peak

C Skewness of the distribution

D Center of the distribution

Standard deviation controls how spread out the data is around the mean.

Which function gives the probability that a value is less than or equal to x in a normal distribution?

A norm.pdf()

B norm.rvs()

C norm.cdf()

D norm.ppf()

The cumulative distribution function (cdf) gives the probability up to x.

If the mean is 0 and standard deviation is 1, what is this normal distribution called?

A Exponential distribution

B Standard normal distribution

C Uniform distribution

D Binomial distribution

A normal distribution with mean 0 and std 1 is called the standard normal distribution.

Explain how to use scipy to find the probability that a value falls below a certain point in a normal distribution.

Think about the function that accumulates probability up to a value.

Describe the role of mean and standard deviation in shaping a normal distribution curve.

Consider how the curve moves and stretches.