1. 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)
   1. Write the formula for p(x), the probability distribution of X. (2 marks)
   2. What are the mean and variance of X? (4 marks)
   3. 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)
   4. What is the probability that at least one person was abused during childhood? (2 marks)

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