The annual salary for a certain job has a normal distribution with a mean of $54,000 and a standard deviation of σ=$5000. What is the probability that the mean salary of random sample of 100 workers is no more than $54,215? 1) μx¯= Answer (Do not include the dollar sign) σx¯= Answer 2) Fill in blanks. P(x ___ 54,215) = P(z __ ______) = ____________ 3)There is a(n) _____% chance that the mean size of a random sample is no more than $54,215.
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!
The annual salary for a certain job has a
1)
μx¯= Answer (Do not include the dollar sign)
σx¯= Answer
2) Fill in blanks.
P(x ___ 54,215) = P(z __ ______) = ____________
3)There is a(n) _____% chance that the mean size of a random sample is no more than $54,215.
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