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5. (a) Write down two reasons for using statistical models - Edexcel - A-Level Maths Statistics - Question 5 - 2006 - Paper 1
Question 5
5. (a) Write down two reasons for using statistical models. (b) Give an example of a random variable that could be modelled by (i) a normal distribution, (ii) a d... show full transcript
Worked Solution & Example Answer:5. (a) Write down two reasons for using statistical models - Edexcel - A-Level Maths Statistics - Question 5 - 2006 - Paper 1
Step 1
Write down two reasons for using statistical models.
Answer
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To simplify a real world problem: Statistical models allow us to break down complex situations into manageable parts, making it easier to analyze and understand the underlying patterns.
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To predict possible future outcomes: By using statistical models, we can estimate or forecast future events based on existing data, which can aid in decision making.
Step 2
Give an example of a random variable that could be modelled by a normal distribution.
Answer
An example of a random variable that can be modelled by a normal distribution is height in a given population. Heights tend to follow a bell-shaped curve, where most individuals fall near the average, and fewer individuals are extremely short or tall.
Step 3
Give an example of a random variable that could be modelled by a discrete uniform distribution.
Answer
An example of a random variable that can be modelled by a discrete uniform distribution is the score on a face after tossing a fair die. Each of the six outcomes (1, 2, 3, 4, 5, or 6) has the same probability of occurring, making it a discrete uniform scenario.