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Suppose in a region in Saskatchewan, among a group of 20 adults with cancer, seven were physically abused during their childhood. A random sample of
- Suppose in a region in Saskatchewan, among a group of 20 adults with cancer, seven were physically abused during their childhood. A random sample of five adult persons is taken from this group. Assume that sampling occurs without replacement, and the random variable X represents the number of adults abused during their childhood period in the sample. (12 marks)
- Write the formula for p(x), the probability distribution of X. (2 marks)
- What are the mean and variance of X? (4 marks)
- What proportion of the population of measurements falls into the interval ( 2)(mean +/- 2*standard deviation)? Into the interval ( 3)(mean +/- 3 *standard deviation)? Do these results agree with those given by Tchebysheff's Theorem? (4 marks)
- What is the probability that at least one person was abused during childhood? (2 marks)
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