. An electronic company in Laguna manufactures resistors that have a mean resistance of 120 ohms and a standard deviation of 13 ohms. Find the probability that a random sample of 40 resistors will have an average resistance greater than 114 ohms.
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!
2. An electronic company in Laguna manufactures resistors that have a mean
resistance of 120 ohms and a standard deviation of 13 ohms. Find the probability
that a random sample of 40 resistors will have an average resistance greater
than 114 ohms.
3. Suppose that the average outstanding credit card balance for young professionals
is Php11,200 with standard deviation of Php 2,600. In simple random sample of
150 young professionals, what is the probability that the mean outstanding credit
card balance does not exceeds Php12,300?
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