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Home | MyEd Student and Staff X will Submit CW2 | Gradescope * + -> C gradescope.com/courses/316862/assignments/1693182/submissionsew V Apps O NS & #8 ) WE ) Course materials ) RF T X5 2TSA#|2TS.. C chegg Stack Overflow - W. 0/4 Questions Answered IF Reading list TIME REMAINING [3 points] 2 hrs 49 min [Please select file(s) Select file(s ) Q2 Conditional Probability 9 Points A factory has produced n teapots among which, with equal probability, there may be 0, 1, 2, . . ., m teapots with defects, for some m 0. So, for example, B1 is the event that there are 0 teapots with defects. (a) Compute the probability P( Bk), where 1 S k S (m + 1). [2 points] (b) Let A denote the event that a teapot that was chosen uniformly at random is not defective. Given that there are exactly (k - 1) teapots with defects, compute the probability of event A, .e. compute P( A Bk). Tip: For this use a counting argument rather than trying any formula for conditional probability. [2 points] (c) Compute the probability of event A, i.e. compute P( A). [2 points] (d) Given that a teapot selected uniformly at random happens not to have any defects (event A ). compute the probability that there are exactly k teapots with defects , where 0 0. So, for example, Bj is the event that there are 0 teapots with defects. (a) Compute the probability P(Bk), where 1