Prob & Distributions Challenge

Froggy Jumps

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About this activity

Quiz on probability and distributions

Created by

PANDIYAN M

India

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#	Player	Accuracy	time
1	Dhivagar September 7, 2026	% 100	01:30
2	Dhiva September 7, 2026	% 90	04:46
3	Pandi September 7, 2026	% 80	04:46
4	Anonymous September 7, 2026	% 70	02:56
5	PANDIYAN M September 7, 2026	% 50	02:11

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Froggy Jumps Prob & Distributions ChallengeOnline version Quiz on probability and distributions by PANDIYAN M 1 Which distribution models the number of events in a fixed interval when events occur independently at a constant average rate? a Poisson distribution b Normal distribution c Binomial distribution 2 In a standard normal distribution, what are the mean and standard deviation? a Mean 0 and SD 1 b Mean 1 and SD 0 c Mean 0 and SD 2 3 What is the probability of getting exactly k successes in n independent Bernoulli trials? a Poisson probability formula b Binomial probability formula c Geometric probability formula 4 Which property does the Central Limit Theorem describe? a All distributions become uniform b Variance always decreases c Sum of independent variables tends toward normal distribution 5 If X ~ N(μ, σ^2), what is Var(X)? a μ^2 b 1/σ^2 c σ^2 6 Which distribution is used to model the time between arrivals in a Poisson process? a Exponential distribution b Uniform distribution c Gamma distribution 7 What does a 95% confidence interval for a mean typically reflect? a Range where 95% of data lies b Sample mean with 95% probability c Range where the true mean lies with 95% confidence 8 In a normal distribution, what property describes the data around the mean? a Skewness to the right b Bimodality c Symmetry around the mean 9 Which distribution is discrete and used for rare-event counts? a Normal distribution b Poisson distribution c Uniform distribution 10 What does the variance measure in a probability distribution? a Central tendency b Moments above the mean c Spread or dispersion of values

Froggy Jumps

Prob & Distributions ChallengeOnline version

Quiz on probability and distributions

by PANDIYAN M

Which distribution models the number of events in a fixed interval when events occur independently at a constant average rate?

Poisson distribution

Normal distribution

Binomial distribution

In a standard normal distribution, what are the mean and standard deviation?

Mean 0 and SD 1

Mean 1 and SD 0

Mean 0 and SD 2

What is the probability of getting exactly k successes in n independent Bernoulli trials?

Poisson probability formula

Binomial probability formula

Geometric probability formula

Which property does the Central Limit Theorem describe?

All distributions become uniform

Variance always decreases

Sum of independent variables tends toward normal distribution

If X ~ N(μ, σ^2), what is Var(X)?

μ^2

1/σ^2

σ^2

Which distribution is used to model the time between arrivals in a Poisson process?

Exponential distribution

Uniform distribution

Gamma distribution

What does a 95% confidence interval for a mean typically reflect?

Range where 95% of data lies

Sample mean with 95% probability

Range where the true mean lies with 95% confidence

In a normal distribution, what property describes the data around the mean?

Skewness to the right

Bimodality

Symmetry around the mean

Which distribution is discrete and used for rare-event counts?

Normal distribution

Poisson distribution

Uniform distribution

What does the variance measure in a probability distribution?

Central tendency

Moments above the mean

Spread or dispersion of values

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Prob & Distributions Challenge

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Prob & Distributions ChallengeOnline version

by PANDIYAN M

Which distribution models the number of events in a fixed interval when events occur independently at a constant average rate?

In a standard normal distribution, what are the mean and standard deviation?

What is the probability of getting exactly k successes in n independent Bernoulli trials?

Which property does the Central Limit Theorem describe?

If X ~ N(μ, σ^2), what is Var(X)?

Which distribution is used to model the time between arrivals in a Poisson process?

What does a 95% confidence interval for a mean typically reflect?

In a normal distribution, what property describes the data around the mean?

Which distribution is discrete and used for rare-event counts?

What does the variance measure in a probability distribution?