Based on extensive historical data compiled by Home Depot, the average customer spends $1,525 to carpet a 9x11 foot room (materials and installation labor costs). The total sale amount has a normal distribution with a standard deviation of $140. What is the probability that a randomly selected customer who purchased carpeting from Home Depot for a 9x11 foot room will have a total sale of more than $1,560? ANSWER: (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 4 decimal places, using conventional rounding rules) What percent of the total carpeting sales amounts for a 9x11 foot room will be between $1,476 and $1,497? ANSWER: % (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer as a percentage to 2 decimal places, using conventional rounding rules) What is the probability that a randomly selected customer who purchased carpeting from Home Depot for a 9x11 foot room will have a total sale of less than $1,238? ANSWER: (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 4 decimal places, using conventional rounding rules) Eighty-six percent of the total carpeting sales amounts for a 9x11 foot room should be above what dollar value? ANSWER: $ (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 2 decimal places, using conventional rounding rules)
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!
Based on extensive historical data compiled by Home Depot, the average customer spends $1,525 to carpet a 9x11 foot room (materials and installation labor costs). The total sale amount has a
What is the
What percent of the total carpeting sales amounts for a 9x11 foot room will be between $1,476 and $1,497? ANSWER: % (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer as a percentage to 2 decimal places, using conventional rounding rules)
What is the probability that a randomly selected customer who purchased carpeting from Home Depot for a 9x11 foot room will have a total sale of less than $1,238? ANSWER: (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 4 decimal places, using conventional rounding rules)
Eighty-six percent of the total carpeting sales amounts for a 9x11 foot room should be above what dollar value? ANSWER: $ (Use only the appropriate formula and/or statistical table in your textbook to answer this question. Report your answer to 2 decimal places, using conventional rounding rules)
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