Unit 4
Mathematical Methods (Western Australia)
Topic 1: The Logarithmic Function (Coming Soon)
Coming Soon
Topic 2: Continuous Random Variables & The Normal Distribution
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Estimating probability of a continuous random variable using data
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The probability Density Function
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Mathematical proof that you do not exist
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Calculating probability using a probability density function
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Proving a function is a probability density function
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unknowns in probability density functions
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Unbounded Probability density functions
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The mean of a continuous random variable
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Calculating percentiles from a probability density function
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Calculating variance and standard deviation of a continuous random variable
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The Cumulative Probability Distribution Function
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The normal distribution Introduction
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Determining normal probabilities on the casio fx cg50AU
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The Inverse Normal Distribution on the Casio FX CG50AU
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The inverse normal distribution on the TI Nspire
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A tricky normal distribution question
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Using z scores to standardise and compare values
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The Normal Approximation to the binomial distribution
Topic 3: Interval Estimates for Proportion
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Why is sample proportion interesting and important
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Sampling from a small population
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Sampling from a large population
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Sample proportion mean and standard deviation
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Approximating the distribution of sample proportions using the normal distribution
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Confidence Intervals for Population proportion
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Finding a confidence interval on the Casio FXCG50 AU Calculator
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Determining required Sample size for a given Margin of error
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Binomial Approximation to the normal and sample proportion, one question two ways