6.7 In 2014, the per capita consumption of bottled water in Spain was recorded to be 32.1 gallons. (Data obtained from http://bit .ly/lpyjHzQ.) Assume that the per capita consumption of bottled water in Spain is approximately normally distributed with a mean of 32.1 gallons and a standard deviation of 8 gallons. a. What is the probability that a person in Spain consumed more than 31 gallons of bottled water in 2014? b. What is the probability a person in Spain consumed between 8 and 21 gallons of bottled water in 2014?c. What is the probability that a person in Spain consumed less than 8 gallons of bottled water in 2014? d. Ninety percent of the people in Spain consumed less than how many gallons of bottled water?
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!
6.7 In 2014, the per capita consumption of bottled water in Spain was recorded to be 32.1 gallons. (Data obtained from http://bit .ly/lpyjHzQ.) Assume that the per capita consumption of bottled water in Spain is approximately
a. What is the
b. What is the probability a person in Spain consumed between 8 and 21 gallons of bottled water in 2014?
c. What is the probability that a person in Spain consumed less than 8 gallons of bottled water in 2014?
d. Ninety percent of the people in Spain consumed less than how many gallons of bottled water?
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
