Question

and interpret population and sample Z-scores. True or False (if any component is false, state why): Suppose in a standardized test which has a mean score of 530 and a standard deviation score of 50, you score a 605. This gives you a z-score of (605 - 530) / 50 = 1.5, meaning that your score was 1.5 standard deviations above the mean, which is a fairly good score. 11- Apply basic probability rules and concepts to determine the likelihood of occurrence for a given event. . Suppose that the probability that it snows on the last Saturday in December is 0.20 (20%). The probability that it snows on the first Saturday in February is 0.30 (30%). Are these two events (snowing on the last Sat. of December, snowing on the first Sat. of Feb) independent? Why or why not? Supposing that they are independent, what is the probability that it snows on both days during this coming winter?

Answer 1

Z-scose by 2=%-4 =105 Sul then Sel is given Zadru Given: mean(us=530, lfandard deviation (o)=50 for a=6o5 605-530 50 which mean that Z-score was 1-5 standard deviation above the mean which is fairly good scose. So if is True. If the occurrence of one event does not affect the occurrence of the other event, these events independent events. Given: P (last Saturday in December) p (first Saturday in February) Since does not snowing of last Saturday in December affect the knowing of first Saturday in febrauary so these two events independent. Probability that it snows on both days lusting this And coming winter = 0.06 = 0.2*0.3 are -0.20 =0.30 1 are