The table below shows the probabilities of the four pairs (a, c), (a, d), (b, c)...

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The table below shows the probabilities of the four pairs (a, c), (a, d), (b, c) and (b, d). The random variable x can take either of the values a or b. The random variable y can take either of the values c or d. Calculate the following probabilities. (a) prob(x = b) (b) prob(y = d) (c) prob(x = b and y = c) (d) prob(x = a or y = d) (e) prob(x=a | y=d) (f) prob(y = c | x=b) d a 0.35 0.13 0.29 0.23 b The table below shows the probabilities of the four pairs (a, c), (a, d), (b, c) and (b, d). The random variable x can take either of the values a or b. The random variable y can take either of the values c or d. Calculate the following probabilities. (a) prob(x = b) (b) prob(y = d) (c) prob(x = b and y = c) (d) prob(x = a or y = d) (e) prob(x=a | y=d) (f) prob(y = c | x=b) d a 0.35 0.13 0.29 0.23 b