Suppose the current measurements made on a conductor wire track follow a normal distribution with mean 10 milliamperes and variance 4 (milliamperes)^2 a) what is the probability that the value of a measurement is less than 9 milliamperes? b) what is the probability that the value of a measurement is greater than 13 milliamps? c) what is the probability that the value of a current measurement is between 9 and 11 milliamperes?
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!
Suppose the current measurements made on a conductor wire track follow a
a) what is the
b) what is the probability that the value of a measurement is greater than 13 milliamps?
c) what is the probability that the value of a current measurement is between 9 and 11 milliamperes?
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