Jina is a civil engineer working for the city of Indianapolis on a project to widen some of its downtown streets. One aspect that she has to consider is that, during the hot summer months, the noonday temperature of the asphalt on these streets can get extremely hot. For the project, she models these temperatures of the asphalt using a normal distribution with a mean of 119 °F and a standard deviation of 16 °F. Use this table or the ALEKS calculator to find the percentage of noonday temperatures of the asphalt between 127 °F and 131 °F according to the model. For your Intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%). ? BR
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!
 alt="Jina is a civil engineer working for the city of Indianapolis on a project to widen some of its downtown streets. One aspect that she has to consider is that,
during the hot summer months, the noonday temperature of the asphalt on these streets can get extremely hot. For the project, she models these temperatures
of the asphalt using a normal distribution with a mean of 119 °F and a standard deviation of 16 °F.
Use this table or the ALEKS calculator to find the percentage of noonday temperatures of the asphalt between 127 °F and 131 F according to the model. For
your intermediate computations, use four or more decimal places. Give your final answer to two decimal places (for example 98.23%).
Explanation
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