Bot the owner of a sporting goods store randomly surveys 150 customers, of whom 95 are first-time customers. During the next week, the store has 900 customers. Based on the data from the survey, how many if the 900 customers can the store owner expect to be first-time customers?
To find out how many of the 900 customers can be expected to be first-time customers, we need to determine the proportion of first-time customers from the survey.
The proportion of first-time customers from the survey is given by: 95/150 = 0.6333 (rounded to 4 decimal places).
Now, we can use this proportion to estimate the number of first-time customers among the 900 total customers. Multiply the proportion by the total number of customers:
0.6333 * 900 = 569.97
Rounding to the nearest whole number, the store owner can expect approximately 570 first-time customers out of the 900 total customers.
To calculate how many of the 900 customers the store owner can expect to be first-time customers, we need to use the proportion of first-time customers from the survey.
First, we calculate the proportion of first-time customers from the survey:
Proportion of first-time customers = (Number of first-time customers in the survey) / (Total number of customers in the survey)
Proportion of first-time customers = 95 / 150
Proportion of first-time customers = 0.6333 (rounded to four decimal places)
Next, we calculate the number of first-time customers in the 900 total customers:
Expected number of first-time customers = (Proportion of first-time customers) x (Total number of customers in the next week)
Expected number of first-time customers = 0.6333 x 900
Expected number of first-time customers = 569.97 (rounded to two decimal places)
Therefore, the store owner can expect around 570 of the 900 customers to be first-time customers.