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    Geometric Distribution

    Question: Two faulty machines, M1 and M2, are repeatedly run synchronously in parallel (i.e., both machines execute one run, then both execute a second run, and so on). On each run, M1 fails with probability p1 and M2 with probability p2, all failure events being independent. Let the random...
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    Geometric Distribution

    Question: Two faulty machines, M1 and M2, are repeatedly run synchronously in parallel (i.e., both machines execute one run, then both execute a second run, and so on). On each run, M1 fails with probability p1 and M2 with probability p2, all failure events being independent. Let the random...
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    Random Variables - Distribution and Expectations

    Here is the homework question. I only have an issue with part c but have shown all my work up until then. Any help is appreciated! Mr and Mrs Brown decide to continue having children until they either have their first boy or until they have five children. Assume that each child is equally...
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    Flip-Flops and Shift Registers

    Homework Statement For the system of Fig. 1, construct a complete state diagram showing all 16 states of the system. Your diagram should have 16 circles, numbered 0000 through 1111, connected with arrows showing which state each state goes to after one tick of the clock. Interestingly, this...
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    Ball thrown into a vertical jet?

    Ball thrown into a vertical jet??? Homework Statement Like any good physicist, I always have a ball in my pocket to throw into the vertical jet of any fountain I happen to find. The result is entertaining (at least I think so). Explain, with a sketch, what you expect to see (you need not...
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    Statics and CM - Ladder Problem

    Homework Statement A uniform ladder length L stands upon the ground; the coefficient of friction there is μ . It leans safely against a smooth (friction-free) wall with the base of the ladder at an angle ! to the horizontal. Jim is the same weight mg as the ladder, and so is Jim's friend...
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    Marble Shoot Loop-the-Loop

    Homework Statement A popular pastime used to be to construct helter-skelters: tracks along which to roll (without slipping) a ball (a marble say, or ball bearing). I made one that mimics a fairground loop-the-loop (see attached .jpg). If the drop from start to base of the loop is D, and the top...
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