Mathematics: Anational restaurant chain claims that their servers make an average of $12.85 in tips per hour, with a standard deviation of $2.15. the servers at the restaurant chain s location in dallas make an average of $8.65 in tips per hour. given that the data is approximately normal, find the probability that a server, chosen at random, will make more than $8.65 in tips per hour.

Anational restaurant chain claims that their servers

Ответ:

JOIful

14.03.2022

We need to calculate the probability:
$P(N\geq 8.65)$
wherein N is the normal law.
$P(\dfrac{N-12.85}{2.15}\geq \dfrac{8.65-12.85}{2.15})$
Simplifying the right hand side of the inequality we get:
$P(\dfrac{N-12.85}{2.15}\geq -1.95$
The above formula can be written in the form:
$P(N(0,1)\geq -1.95)$
N(0,1)