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NCEA Level 3 Statistics | Fun Learning Quest for Kids

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ncea-level-3-statistics-exam

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Q1

A news article claims that '9 out of 10 dentists recommend Brand X toothpaste.' If you assume the true proportion of dentists who recommend Brand X is 0.9, and you randomly survey 20 dentists, what is the probability that exactly 18 recommend Brand X? Use the binomial distribution. Which of the following best describes the approach?

Q2

You read a report stating that the number of goals scored in a rugby match follows a Poisson distribution with a mean of 3.5 goals per match. What key assumption about the goals must hold for the Poisson model to be appropriate?

Q3

A weather report claims that the daily maximum temperature in Christchurch in January is normally distributed with mean 22°C and standard deviation 3°C. According to the empirical rule, approximately what percentage of January days will have a maximum temperature between 19°C and 25°C?

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