Page 119 - The Ontario Curriculum, Grades 11 and 12: Mathematics, 2007

2.7 make connections, through investigation using dynamic statistical software, between the normal distribution and the binomial and hypergeometric distributions for increasing numbers of trials of the discrete distributions (e.g., recognizing that the shape of the hyper- geometric distribution of the number of males on a 4-person committee selected from a group of people more closely resembles the shape of a normal distribution as the size
of the group from which the committee was drawn increases)
Sample problem: Explain how the total area of a probability histogram for a binomial distribution allows you to predict the area under a normal probability distribution curve.
2.8 recognize a z-score as the positive or negative number of standard deviations from the mean to a value of the continuous random variable, and solve probability problems involving normal distributions using a variety of tools and strategies (e.g., calculating a z-score and reading a probability from a table; using tech- nology to determine a probability), including problems arising from real-world applications
Sample problem: The heights of 16-month-old maple seedlings are normally distributed with a mean of 32 cm and a standard devia- tion of 10.2 cm. What is the probability that the height of a randomly selected seedling will be between 24.0 cm and 38.0 cm?
PROBABILITY DISTRIBUTIONS
117
M a t h e m a t i c s Fo uf nD ca t t i a o Mn as n a g e m e n t
MDM4U