According to a recent survey, the average daily rate for a luxury hotel is $236.97. Assume the daily rate follows a normal probability distribution with a standard deviation of $21.88. Complete parts a through d below. What is the probability that a randomly selected luxury hotel's daily rate will be between $232 and $252 Round to four decimal places as needed.
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!
According to a recent survey, the average daily rate for a luxury hotel is
Assume the daily rate follows a
Complete parts a through d below.
What is the probability that a randomly selected luxury hotel's daily rate will be between
and $252
Round to four decimal places as needed.
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