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Final Exam - Chapter 10 Review 1. The cure rate for a particular disease is 78%. What is the probability that at least 8 out of 9 patients is cured? 2. In a binomial distribution where there are 300 trials and the probability of failure is .44. What is the a) expected mean? b) standard deviation? c) variance? 3. What does B(k,75,.32) mean? 4. How can you tell if a table of x and P(x) represents a probability distribution? 5. Rewrite each probability in the form you would need to use the z-score table. a) P( z .9) b) P(1.2 z .9) c) P ( z 2.2) 6. The weight of house cats is normally distributed with mean 4.5 lbs. and standard deviation 1.2 lbs. What is the correct z-score necessary to find the probability of randomly choosing a cat that weighs less than 5.5 lbs.? What is the probability that if a cat is chosen at random that will be less that 5.5 lbs.? 7. Find the probability of hitting the circle (the un-shaded region) if a dart is thrown randomly? x 8. In a binomial situation the z-score is .8. The x value is 27 and the mean is 25. What is the variance? 9. When making judgments about probability, what must be true about the probability if one were to support an alternative hypothesis? 10. Jake flipped a coin 100 times. He got 62 heads. Use a normal approximation to determine the probability when flipping a coin 100 times that a person gets 62 or more heads?