9. Suppose X is a binomially distributed random variable with a probability of success of 0.3. In 6 trials, What is the probability that there will be at least two successes? A. Not greater than 0.15 B. Greater than 0.15 but not greater than 0.25 C. Greater than 0.25 but not greater than 0.35 D. Greater than 0.35 but not greater than 0.45 E. Greater than 0.45 10. Suppose X is a binomially distributed random variable with a probability of success of 0.35. In 12 trials, what is the probability that there will be at least four but not more than six successes? A. Not greater than 0.25 B. Greater than 0.25 but not greater than 0.35 C. Greater than 0.35 but not greater than 0.45 D. Greater than 0.45 but not greater than 0.55 E. Greater than 0.55 11. Suppose X is a discrete random variable with the following probability distribution: X P1X! 0.2 5 6 0.3 7 0.4 8 0.1 What is the expected value of X? A. Not greater than 2 B. Greater than 2 but not greater than 3 C. Greater than 3 but not greater than 4 D. Greater than 4 12. A given population has, on some numeric characteristic, a mean (u) of 120 and a standard deviation (6) of 12. If we randomly selected some member of this population and observed a value of 103.2 on that characteristic, the standardized value of this observation would be A. 1.21 B. 0.38 C. 2.13 D. 0.53 E. None of the above