Lesson S4.3.1
S4.3.1 Selecting an appropriate probability distribution Quiz: Pearson Edexcel Maths, Unit 14
20 questions
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Lesson S4.3.1, Selecting an appropriate probability distribution: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 14: Statistical distributions, written with Revision Ninja.
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The 20 questions
-
Which discrete distribution models independent trials with a constant probability of success?
- Poisson
- Geometric
- Binomial
- Normal
-
What distribution is typically used to model the number of random events occurring in a fixed interval?
- Normal
- Poisson
- Exponential
- Binomial
-
Which continuous distribution is symmetric and bell-shaped?
- Exponential
- Normal
- Poisson
- Uniform
-
Which distribution describes the waiting time between independent Poisson events?
- Geometric
- Exponential
- Binomial
- Normal
-
What discrete distribution models the number of trials up to and including the first success?
- Geometric
- Binomial
- Poisson
- Uniform
-
Which distribution has a mean that is always equal to its variance?
- Binomial
- Poisson
- Normal
- Geometric
-
Which distribution has a variance that is always strictly less than its mean?
- Exponential
- Binomial
- Normal
- Poisson
-
What continuous distribution has a constant probability density across a bounded interval?
- Continuous uniform
- Exponential
- Poisson
- Normal
-
Model the number of defective items in a random sample of 50 from a large factory output.
- Geometric
- Exponential
- Poisson
- Binomial
-
Model the number of emails received per hour at a server.
- Binomial
- Poisson
- Geometric
- Normal
-
Model the exact height of adult males in the UK population.
- Poisson
- Exponential
- Binomial
- Normal
-
Model the time until a lightbulb fails, given a constant hazard rate.
- Geometric
- Binomial
- Poisson
- Exponential
-
Model the number of coin tosses needed to get the first head.
- Binomial
- Poisson
- Geometric
- Uniform
-
Model the score rolled on a fair six-sided die.
- Binomial
- Poisson
- Geometric
- Discrete uniform
-
What distribution can approximate a binomial distribution when n is large and p is small?
- Exponential
- Geometric
- Poisson
- Normal
-
What distribution can approximate a binomial distribution when n is very large and p is close to 0.5?
- Exponential
- Geometric
- Normal
- Poisson
-
Which distribution lacks memory, meaning future probability is independent of past duration?
- Geometric
- Poisson
- Exponential
- Binomial
-
Model the number of cars passing a fixed point on a motorway in a 10-minute window.
- Normal
- Binomial
- Poisson
- Exponential
-
Model the exact weight of bags of flour labelled as 1 kg with small random variations.
- Exponential
- Poisson
- Normal
- Binomial
-
Model the number of successes in 20 trials where the success probability changes after each trial.
- Poisson
- Binomial
- Geometric
- None
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