[5] 1. Discuss the differences between discrete and continuous variables. Describe how it would be possible to use a continuous probability distribution to calculate P ( X = x ). Part B: Knowledge Provide only the answer for each of the following questions. [1] 2. A binomial distribution has 700 trials and a probability of success of 64%. Would a normal approximation be viable for this situation? [1] 3. Use a z-score chart to calculate P ( Z < -0.98 ). [1] 4. Calculate the expected value of red marbles out of a bag containing 7 red marbles and 9 blue marbles if you are taking 5 marbles from the bag. [1] 5. True or False. A positively-skewed distribution has a tail pulled to the right. [1] 6. True or False. Approximately 68% of the data will lie within two standard deviations of the mean in a normal distribution. [1] 7. What z-score value corresponds to a raw value of 93 in a distribution with a mean of 90 and a standard deviation of 12