Modelling with Distributions (AQA A-Level Mathematics): Quizzes

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Modelling with Distributions
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Which condition is NOT required for a binomial distribution?

Variable probability of success

How many possible outcomes must each trial have in a binomial distribution?

Exactly two (success or failure)

What does 'independent trials' mean in binomial distribution?

Trials don't affect each other

What shape does a normal distribution have?

Symmetrical bell shape

In a normal distribution, what is the relationship between mean, median, and mode?

Mean = Median = Mode

According to the Empirical Rule, what % of data falls within 1 standard deviation of the mean?

68%

When should you use a normal distribution to model data?

For continuous variables

What is the z-score formula?

Z=XμσZ = \frac{X - \mu}{\sigma}

What is the first step in the modelling process?

Identify the situation

What % of data falls within 2 standard deviations of the mean in a normal distribution?

95%

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