What sine function represents an amplitude of 4, a period of pi over 2, no horizontal shift, and a vertical shift of −3?

f(x) = −3 sin 4x + 4
f(x) = 4 sin 4x − 3
f(x) = 4 sin pi over 2x − 3
f(x) = −3 sin pi over 2x + 4

After surveying students in her homeroom, katie decided to use a number cube to predict the probability that a randomly chosen student in her school planned to stay after school today for extracurricular activities. in katie’s simulation, a roll of 1 represents staying after school, while rolls of 2, 3, 4, 5, or 6 represent leaving school at the end of classes. according to katie’s model, what is the probability that three randomly chosen students will all stay after school for extracurricular activities today?