Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.
The parking duration in hours, of a randomly selected vehicle at a car park is modelled by the probability density function
Find the mean parking duration giving your answer in hours.
Determine giving your answer in hours squared.
The parking charge in dollars, is given by Hence find and giving appropriate units.
A psychologist models scores on a test as a normally distributed random variable measured in points. Figure 1 shows two cumulative probabilities for this distribution.
Using a GDC, determine the -value corresponding to Give your answer to four significant figures.
Using a GDC, determine the -value corresponding to Hence use both -values to determine the mean and standard deviation of giving each answer to three significant figures.
The graph in Figure 1 shows the probability density function, of a continuous random variable
Write down as a piecewise function.
Determine
Hence determine
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