Question: Two boxes each contain five numbered balls: Box 1 contains balls with numbers 5, 5, 6, 7, 7 Box 2 contains balls with numbers 3,

Two boxes each contain five numbered balls:

Box 1 contains balls with numbers 5, 5, 6, 7, 7
Box 2 contains balls with numbers 3, 3, 3, 3, 4

(a) You will randomly select one ball from each box. LetXbe the difference between the numbers selected from the first and second box. Find the probability distribution ofX.You can simply list the probabilities for each possible value ofXinstead of making a table.(3 marks)

(b) Find P(X < 4 | X > 2).(1 mark)

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