The weekly amount of time Nasa Engineers devote to their jobs is normally distributed with a mean of 56 hours and a standard deviation of 4 hours. 1. Find the probability that if three engineers were randomly selected all three individually worked for more than 59 hours per week. (Round the final answer to four decimal places.) 2. Find the probability that the mean amount of work per week for three randomly selected engineers is more than 59 hours per week. ( Round the final answer to four decimal places. )
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 weekly amount of time Nasa Engineers devote to their jobs is
1. Find the probability that if three engineers were randomly selected all three individually worked for more than 59 hours per week. (Round the final answer to four decimal places.)
2. Find the probability that the mean amount of work per week for three randomly selected engineers is more than 59 hours per week.
( Round the final answer to four decimal places. )
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