Independent events
5- The following data is the number of credit cards owned by 6 persons. X1 X2 X3 X5 X6 4 2 0 3 1 6 Compute the z-score of each one of these values. Which one of the following statements is correct? (A) Z - score of x1 = 1.120, Z - score of x2 = 0.883, Z - score of X3 = -1.234, Z - score of x4 = 0.540, Z - score of x5 - -0.772, Z - score of X6 = 2.236 (B) Z - score of x1 = 0.512, Z - score of x2 = -0.309, Z - score of x3 =-1.234, Z - score of x4 = 0.154 , Z - score of Xs = -0.772 , Z - score of X6 =1.543 (C) Z - score of x1 = 0.617, Z - score of x2 = =0.309, Z - score of X3 =-1.234, Z - score of x4 = 0.154 , Z - score of xs = -0.772 , Z - score of X6 =1.543 (D) Z - score of x, = 0.617, Z - score of x2 = -0.309, Z - score of X3 =-1.234, Z - score of x4 = 0.154 , Z - score of x5 = -0.772, Z - score of Xo =2.2367. | Basic Computation: Poisson Distribution Given a binomial experiment with n = 200 trials and probability of success on a single trial p = 0.04, find the value of A and then use the Poisson distribution to estimate the probability of r = 8 successes. 8. Basic Computation: Poisson Distribution Given a binomial experiment with n = 150 trials and probability of success on a single trial p = 0.06, find the value of A and then use the Poisson distribution to estimate the probability of r = 2 successes.7. Differentiating normal z scores from all z scores An Aa Recall that z scores have the same shape as the original raw scores. That is, if the the raw scores are normally distributed, then when you transform them to z scores, these z scores are also normally distributed. Here we will call such normally distributed z scores "normal z scores." Consider the following statements. Some of these statements are necessarily true for all z scores, some of these statements are necessarily true for normal z scores, and others of these statements are not necessarily true for any z scores. (Note: Here necessarily true means the statement can be assumed for those particular z scores with certainty. It is possible that the statement can be true, for example, for some particular cases, but not all. In such a case, the statement should not be checked as true.) For the following statements, select whether the statement is true for all z scores, true for normal z scores, or not true for z scores. True for All z scores True for Normal z scores Not True for z scores The mean of the distribution of z O scores is 1, and the standard deviation is 0. Fifty percent of the distribution of z O scores have negative values. A z score of -2 is farther from the O O O mean than a z score of +1.The moment-generating function for a random variable having a Poisson distribution with parameter A is Mfr) = ere} [Her 1)). If 1! is the mean of a random sample of size n from a Poisson distribution with parameter .1, then which of the following statements is true? G E has a normal distribution with mean A and variance ,1 E has a normal distribmion with mean .1 and variance % (a E has a Poisson distribution with parameter it Q n} has a Poisson distribution with parameter .1" G) n} has a Poisson distribution mm parameter as
