A florist sold bouquet of red roses to 15 of the first 20 customers who came into his shop.
1. What is the experimental probability that a random customer in that group bought a bouquet of red roses?
2. Based on the experimental probability, how many bouquets of red roses should the florist expect to sell on a day with 120 customers?
1. 15/20 = 3/4 = .75
2. 120 *.75 = ?
1. To find the experimental probability, divide the number of customers who bought a bouquet of red roses by the total number of customers in the group. The number of customers who bought a bouquet of red roses is 15, and the total number of customers is 20.
Experimental Probability = Number of customers who bought a bouquet of red roses / Total number of customers
Experimental Probability = 15 / 20
Experimental Probability = 0.75 or 75%
So, the experimental probability that a random customer in that group bought a bouquet of red roses is 0.75 or 75%.
2. To estimate how many bouquets of red roses the florist should expect to sell on a day with 120 customers, we can use the experimental probability calculated in the first question.
Expected number of bouquets of red roses = Experimental Probability * Total number of customers
Expected number of bouquets of red roses = 0.75 * 120
Expected number of bouquets of red roses = 90
Therefore, based on the experimental probability, the florist should expect to sell approximately 90 bouquets of red roses on a day with 120 customers.
To find the experimental probability that a random customer in the given group bought a bouquet of red roses, you need to divide the number of customers who bought red roses by the total number of customers in the group.
1. To calculate the experimental probability:
Number of customers who bought red roses = 15
Total number of customers in the group = 20
Experimental probability = Number of customers who bought red roses / Total number of customers in the group
Experimental probability = 15 / 20
Experimental probability = 0.75 or 75%
Therefore, the experimental probability that a random customer in that group bought a bouquet of red roses is 0.75 or 75%.
2. To calculate how many bouquets of red roses the florist should expect to sell on a day with 120 customers, you can use the experimental probability found in the previous step.
Expected number of bouquets of red roses = Experimental probability * Total number of customers
Expected number of bouquets of red roses = 0.75 * 120
Expected number of bouquets of red roses = 90
Therefore, based on the experimental probability, the florist should expect to sell around 90 bouquets of red roses on a day with 120 customers.