A manager samples the receipts of every fifth person who goes through the line. Out of 50 people, 5 had a mispriced item. If 1,300 people go to this store each day, how many people would you expect to have a mispriced item?
You would expect there to be
people per day who have a mispriced item.
5/50 = 10/100 = 0.1to make it easy
0.1 * 1300 = 130
im sorry i had a different problem its ot 78
48
To find the number of people you would expect to have a mispriced item per day, we can start by understanding the sampling method used by the manager.
The manager samples the receipts of every fifth person who goes through the line. This means that for every five people, only one person's receipt is checked. We can assume that the probability of encountering a mispriced item is the same for all individuals.
From the given information, out of 50 people, 5 had a mispriced item. Since the manager checks every fifth person's receipt and we know that 5 people had a mispriced item, it implies that these 5 people were sampled and had their receipts checked. Thus, we can assume that these 5 people were among the 50 and therefore represent the total population.
To calculate the expected number of people with a mispriced item per day, we need to find the fraction of the total population represented by these 5 people and then scale it up to the total number of people who visit the store each day.
The fraction of the total population represented by these 5 people is given by:
(5 people)/(50 people) = 1/10
Next, we need to scale this fraction up to the total number of people who visit the store each day, which is 1,300 people per day.
Therefore, to find the expected number of people who have a mispriced item per day, we multiply the fraction (1/10) by the total number of people per day:
Expected number = (1/10) * 1300 = 130
Hence, you would expect 130 people to have a mispriced item per day.