Ashlee will select marbles from two bags without looking. First, she will choose a marble from a bag that has 2 yellow marbles and 4 purple marbles in it. Next, she will choose a marble from a different bad that has 3 yellow marbles, 1 purple marbles, and 2 orange marbles in it. Use the Multiplication Rule for Independent Events to find the probability that she will select a purple marble from the first bag followed by a ye

7:20 PM Sun Feb 23 $ 20% I knewton.com Knewton Alta e MTH-105-0 - 11464.202010 9.4 Addition and Multiplication Rules O Use the counting principle and the multiplication rule for independent events Question Tim loves to visit his local shopping mall. When there, his two favorite activities are browsing Dillards and sitting to people watch while having tea. Let A represent the event that he browses Dillards at the mall and B represent the event that he sits to people watch while having tea at the mall. If A and B are independent events with P(A) = 0.90 and P(A AND B) = 0.63, find P(B). Provide your answer below: FEEDBACK MORE INSTRUCTION SUBMIT Content attributionThe following table represents the Cognitive Ability Test Score and Performance Appraisal Score (both ranging from 1 - very low levels of cognitive ability or performance to 10 - very high levels of cognitive ability or performance) for the population of 78 employees at a company. Performance Appraisal Score Cognitive Ability Test Score Below 3 Between 3 and 7 Above 7 Total Below 3 8 3 O 11 Between 3 and 7 5 15 3 23 Above 7 2 20 22 44 Total 15 38 25 78 Based on this data, if 3 employees are selected at random, what is the probability that all 3 scored above a 7 on the performance appraisal (HINT: Use the Multiplication Rule for Independent Events)? O .033 O .564 O .022 O .282 O .321 O .179Step (a) If A and B are independent events, compute P(A and B). To compute P(A and B) means that we wish to find the probability that both A happened and B happened. Recall that two events are independent if the occurrence or nonoccurrence of one event does not change the probability that the other event will occur. We are given that A and B are independent events, so we can use the multiplication rule for independent events. It is also given that P(A) = 0.5 and P(B) = 0.9. P(A and B) = P(A) . P(B) = (0.5) . Submit Skip (you cannot come back)