Average sales for an online textbook distributor were $66.49 per customer per purchase. Assume the sales are normally distributed. If the standard deviation of the amount spent on textbooks is $8.72 , find these probabilities for a randomly selected customer of the online textbook distributor. Round your answer to the nearest tenth of a percent. (a)He or she spent more than $92.65 per purchase. (b)He or she spent less than $83.93 per purchase. Refer to the table of values (Area Under the Standard Normal Distribution) as needed. Part: 0 / 2 0 of 2 Parts Complete Part 1 of 2 (a)The probability that a randomly selected customer spent more than $92.65 per purchase is %
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!
Average sales for an online textbook distributor were
Refer to the table of values (Area Under the Standard Normal Distribution) as needed.
|
(a)The probability that a randomly selected customer spent more than
$92.65
%
|
|
|
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
