The space shuttle light control system called PASS (Primary Avionics Software Set) uses four independent computers working in parallel. At each critical steps, the computers “vote” to determine the appropriate step. The probability that a computer will ask for a roll to the left when a roll to the right is appropriate is 0.0001. Let X denote the number of computers that vote for a left roll when a right roll is appropriate. What is the mean and variance of X?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
Eg 8: The space shuttle light control system called PASS (Primary Avionics Software Set) uses four
independent computers working in parallel. At each critical steps, the computers “vote” to determine
the appropriate step. The
right is appropriate is 0.0001. Let X denote the number of computers that vote for a left roll when a
right roll is appropriate. What is the mean and variance of X? [Ans: μ=0.0004, σ2=0.000398482]
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