Statistics and Probability

9. .3 '1 There are 13 freshmen and 19 sophomore students in a classroom. We randomly select two students. Suppose the students were selected with replacement. a] If the first student was a freshman, what is the probability that the 2nd student is also a freshman? b) If the first student was a sophomore, what is the probability that the 2nd student was a freshman? Suppose the students were selected mm. c) If the first student was a freshman, what is the probability that the 2nd student is also a freshman? d) If the first student was a sophomore, what is the probability that the 2nd student was a freshman? "Events A and B are mutually exclusive If they can not occur simultaneously." This statement is best represented in symbols by "Events A and B are independent if the occurrence of one does not affect the probability ofthe other occurring." This statement is best represented in symbols by Every cereal box has a gift inside. but you cannot tell from the outside what the gift is. The store manager assures you that 13 of the 60 boxes on the shelf have the secret decoder ring. The other 47 boxes on the shelf have a different gift inside. If you randomly select two boxes of cereal from the shelf to purchase, what is the probability that BOTH of them have the secret decoder ring? into the following table indicating the numbers ofchildren from each group who drew the certain 5 The correct size ofa certain object Is 21.21 millimeters. Based on that, the data can be summarized object too small and too large: ___- mumma mam-inn \"Elm'3 a) The proportion of children from group 1 that drew the object too large is: b) The proportion of children from group 2 that drew the object too large is: c) The proportion of all children that drew the object too large is: d) If a child is picked at random, what is the probability they are in group 1, given they drew the object too large? e) If a child is picked at random, what is the probability they are in group 2 0R drew the object too large