Question

a sales clerk wants to predict the shoe sizes that will be sold this weekend for a new shoe that is going on sale. she uses her computer to simulate the first 15 customers who purchase the shoe. based on the simulated results, what is the probability that a randomly selected customer will purchase a shoe size less than a size 7.5? 8.5 9.5 5.0 10.0 5.5 9.0 6.0 6.5 9.5 10.5 8.5 7.0 11.0 6.5 8.5 (1 point) 0.600 0.333 0.467 0.400

Explanation:

Step1: Count the number of shoe sizes less than 7.5

The shoe sizes less than 7.5 are 5.0, 5.5, 6.0, 6.5, 6.5. So there are 6 such values.

Step2: Calculate the probability

The formula for probability is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (shoe sizes < 7.5) is 6 and the total number of outcomes (total number of customers) is 15. So \(P = \frac{6}{15}\)
Simplify \(\frac{6}{15}=\frac{2}{5}= 0.4\)

Answer:

0.400