please solve the question no 2

Question Number 1 |12 Marksl Suppose you have two boxes A and B. Box A contains 7 black marbles, 4 white marbles. Box B contains 7 white and 4 black marbles. A random experiment is performed in two sequential trials by rst drawing a marble randomly from boxA and putting into Box B. In the second trial after the first trial, a marble is drawn randomly from box B. Answer the following questions. a. Are the two trials independent or dependent? Give reasons to support your answer [2] b. Draw a probability tree diagram to show the execution ofthis random experiment. [2] c. What is the probability of drawing a white marble from box B at the end of 2 \"d trial? [2] d. What is the probability of drawing a black marble from box B at the end of 2 \"d trial? [2] e. Identify all the mutually exclusive events present in the given scenario and verify that they are mutually exclusive. [2] f. If we reverse the scenario, then what is the probability of drawing a black marble from boxAgiventhatawhite marble is drawn from box B. [2] Marks Distribution/ Rubrics (for each part}: Clarity! legibility = 0.5 Mark Correct Approach = 0.5 Mark Full Steps : 0.5 Mark Develop possible answer : 0.5 Mark uestion Number 2 4 Marks HBL Bank Pvt LtD. is studyng its ATM use in the Gulshane-Iqbal area of Karachi. A sample of 30 ATMs showed they were used in the given number of times (in seconds) on a particular day, as shown in Table 1. a. Identify the presence of outliers in this dataset b. After removing the outliers (if present) from the given dataset, what is the expected or average number of times (in seconds) the ATM is used in the new dataset (if outliers were detected and removed). Show your results with errors in the statistical expected or average value. 83.24 64.01 84.23 76.20 84.21 54.29 5.11 59.21 70.23 61.01 63.10 80.23 84.21 73.20 68.11 52.19 65.22 90.16 52.16 177.21 95.23 36.15 48.12 16.18 59.32 84.22 195.13 47.18 87.13 26.11 Table 1: Table for question number 2 Marks Distribution/ Rubrics (for each part I: Clarity/ legibility : 0.5 Mark Correct Approach : 0.5 Mark Full Steps : 0.5 Mark Develop possible answer = 0.5 Mark