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Please see in the attachment. (a) A point is chosen at random and uniformly on a yard stick, thus dividing it into two pieces. Find

Please see in the attachment.

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(a) A point is chosen at random and uniformly on a yard stick, thus dividing it into two pieces. Find the probability that the ratio of the shorter to the longer piece is less than 1 4. (b) Let Y be a uniformly distributed random variable over the interval (0, 5). What is the probability that the roots of the following equation are both real? 4x2+433Y+Y+2=0

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