Binomial distribution in SciPy - Interactive Code Practice

Practice - 5 Tasks

1fill in blank

easy

Complete the code to import the binomial distribution function from scipy.stats.

SciPy

from scipy.stats import [1]

Drag options to blanks, or click blank then click option'

Abinom

Bnorm

Cpoisson

Duniform

Attempts:

3 left

💡 Hint

Common Mistakes

Importing the normal distribution function instead of binomial.

Using a distribution unrelated to binomial like poisson or uniform.

The binom function in scipy.stats is used to work with the binomial distribution.

2fill in blank

medium

Complete the code to calculate the probability mass function (PMF) for 3 successes in 10 trials with success probability 0.5.

SciPy

prob = binom.pmf([1], 10, 0.5)

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A3

B5

C7

D10

Attempts:

3 left

💡 Hint

Common Mistakes

Using the total number of trials instead of successes.

Confusing the order of arguments.

The PMF calculates the probability of exactly k successes. Here, k=3.

3fill in blank

hard

Fix the error in the code to calculate the cumulative distribution function (CDF) for 4 successes in 8 trials with probability 0.3.

SciPy

cdf_value = binom.[1](4, 8, 0.3)

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Apdf

Bpmf

Ccdf

Dsf

Attempts:

3 left

💡 Hint

Common Mistakes

Using pmf or pdf instead of cdf.

Using survival function sf which is complementary.

The CDF function is cdf, which gives the probability of up to 4 successes.

4fill in blank

hard

Fill both blanks to create a dictionary of probabilities for successes greater than 2 in 5 trials with probability 0.4.

SciPy

prob_dict = {k: binom.[1](k, 5, 0.4) for k in range(3, [2])}

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Apmf

Bcdf

C6

D5

Attempts:

3 left

💡 Hint

Common Mistakes

Using CDF instead of PMF for exact probabilities.

Using 5 as range upper bound which excludes 5.

We use pmf to get exact probabilities and range(3, 6) to include successes 3, 4, and 5.

5fill in blank

hard

Fill all three blanks to create a dictionary of probabilities for successes less than 4 in 7 trials with probability 0.6.

SciPy

probabilities = {k: binom.[1](k, [2], [3]) for k in range(4)}

Drag options to blanks, or click blank then click option'

Apmf

B7

C0.6

Dcdf

Attempts:

3 left

💡 Hint

Common Mistakes

Using CDF instead of PMF for exact values.

Mixing up number of trials or probability values.

We use pmf for exact probabilities, 7 trials, and 0.6 success probability.