Discrete Distribution Quiz

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What is the probability of success in a binomial distribution if the probability of success in a single trial is 0.3?

• 0.5

• 0.7

• 0.3

• 1.2

If the probability of success in a binomial distribution is 0.4 and the number of trials is 5, what is the probability of getting exactly 2 successes?

• 0.8

• 0.2304

• 0.625

• 0.3125

Explain the concept of Poisson distribution in your own words.

• Poisson distribution is a method of predicting the weather based on cloud formations

• Poisson distribution is a type of dance popular in South America

• Poisson distribution is a probability distribution that shows the likelihood of a given number of events occurring in a fixed interval of time or space.

• Poisson distribution is a type of fishing technique used in deep-sea fishing

Calculate the probability of 3 events occurring in a Poisson distribution with a mean of 2.

• 3.750

• 0.180

• 1.250

• 0.500

What are the parameters of a geometric distribution?

• The range and median

• The mean and standard deviation

• The probability of success on each trial (p) and the number of trials until the first success (k)

• The mode and variance

If the probability of success in a geometric distribution is 0.2, what is the probability of the first success occurring on the 4th trial?

• 0.2 * (0.8)^4

• 0.8 * (0.2)^3

• 0.2 * (0.2)^3

• 0.2 * (0.8)^3

In a Poisson distribution with a mean of 4, what is the probability of 5 events occurring?

• 0.05

• 0.25

• 0.156293

• 0.10

Describe the process of calculating the probability of a specific number of successes in a binomial distribution.

• Using the square root of the number

• Guessing the probability

• Using the binomial probability formula

• Asking someone else to calculate it

How is the probability of a specific number of events calculated in a Poisson distribution?

• P(X = k) = (e^-λ * λ^k) / (k^2)!

• P(X = k) = (e^-λ * λ^k) / (k+1)!

• P(X = k) = (e^-λ * λ^k) / (k-1)!

• P(X = k) = (e^-λ * λ^k) / k!