Question

kate is taking a short break and wants to pick up lunch from her favorite drive - thru restaurant, burger shack. there are two locations of burger shack that are equal distance from her office: mountainview plaza and beachside square. in the past, when kate has picked up lunch from burger shack, she has been to the mountainview plaza location 12 times and the beachside square location 15 times.
in situations when kate has been to the mountainview plaza location, her wait time has been less than 5 minutes 2 times, between 5 minutes and 10 minutes 5 times, and more than 10 minutes 5 times. in situations when kate has been to the beachside square location, her wait time has been less than 5 minutes 9 times, between 5 minutes and 10 minutes 2 times, and more than 10 minutes 4 times.
based on the information above, if kates goal is for her wait time at burger shack to be 10 minutes or less, which location should she choose?
a. beachside square
b. moutainview plaza
c. there is not enough information to determine the location that kate should choose.
d. neither location has an advantage.

Explanation:

Step1: Calculate probability for Mountainview Plaza

The total number of times at Mountainview Plaza is \(12\). The number of times wait - time is \(10\) minutes or less is \(2 + 5=7\). The probability \(P_{M}=\frac{7}{12}\approx0.583\).

Step2: Calculate probability for Beachside Square

The total number of times at Beachside Square is \(15\). The number of times wait - time is \(10\) minutes or less is \(9+2 = 11\). The probability \(P_{B}=\frac{11}{15}\approx0.733\).

Answer:

A. Beachside Square