Lesson S3.3.1
S3.3.1 Modelling with probability Quiz: Pearson Edexcel Maths, Unit 13
20 questions
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Lesson S3.3.1, Modelling with probability: 20 multiple choice questions for the Pearson Edexcel Maths (9MA0), Unit 13: Probability, written with Revision Ninja.
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The 20 questions
-
What common probability assumption is often questioned when modelling with a six-sided die?
- Fairness
- Independence
- Normality
- Randomness
-
Which distribution is characterised by a fixed number of independent trials with two possible outcomes?
- Uniform distribution
- Binomial distribution
- Poisson distribution
- Normal distribution
-
What notation represents a binomial distribution with 10 trials and probability of success 0.3?
- N(10, 0.3)
- P(10, 0.3)
- U(10, 0.3)
- B(10, 0.3)
-
Which continuous distribution has a symmetrical bell-shaped curve defined by mean and variance?
- Normal distribution
- Binomial distribution
- Exponential distribution
- Discrete uniform
-
What notation is used for a Normal distribution with mean mu and variance sigma squared?
- N(mu, sigma squared)
- P(mu, sigma squared)
- B(mu, sigma squared)
- U(mu, sigma)
-
When critiquing a probability model, what effect do more realistic assumptions typically have on complexity?
- Eliminates variables
- Decreases complexity
- Increases complexity
- Removes uncertainty
-
What is true for the probability of each outcome in a discrete uniform distribution?
- Random probabilities
- Decreasing probabilities
- Increasing probabilities
- Equal probabilities
-
What type of distribution model is typically used for coin flips and success-failure scenarios?
- Normal
- Uniform
- Continuous
- Binomial
-
In a binomial model X ~ B(n, p), what does parameter p strictly represent?
- Mean of distribution
- Probability of success
- Standard deviation
- Number of trials
-
When using a Normal distribution as a model, what specific knowledge of its probability density function is needed?
- None required
- Derivation formula
- Integration bounds
- Inflection formula
-
Which mathematical feature of the Normal distribution must students recognise regarding its visual appearance?
- Discreteness
- Periodicity
- Skewness
- Symmetry
-
What tool are students expected to use to find cumulative binomial probabilities in exams?
- Probability tables
- First principles
- Logarithm charts
- Calculator
-
What tool are students expected to use to find probabilities connected with the Normal distribution?
- Manual integration
- Calculator
- Spreadsheet software
- Statistical tables
-
Solving problems with the Normal distribution in exams may occasionally involve what type of algebra?
- Differential equations
- Proof by induction
- Matrix inversion
- Simultaneous equations
-
What real-world aspect is often paired conceptually with the mean and standard deviation of a Normal distribution?
- Scatter diagrams
- Histograms
- Box plots
- Pie charts
-
Is the derivation of the mean and variance formula required for the Normal distribution?
- Only for variance
- Yes
- Only for mean
- No
-
When evaluating a probability model, what should be done regarding initial assumptions?
- Ignore completely
- Maximise variables
- Assume absolute truth
- Critique appropriateness
-
What does parameter n represent in the binomial distribution notation B(n, p)?
- Number of trials
- Mean value
- Standard deviation
- Probability of success
-
At which specific coordinate points do the points of inflection occur on a normal distribution curve?
- x = µ ± 2σ
- x = µ ± σ
- x = µ
- x = ± σ
-
What key discrete distribution involves equally likely outcomes for a finite set of values?
- Normal distribution
- Binomial distribution
- Discrete uniform
- Continuous uniform
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