Probability

A restaurant always takes an inventory at the cash register at the end of the day so that the employees can divide their tips. It has been found that the daily tips follow a normal distribution with a mean of €130 and a standard deviation of 60.

What is the probability that on a randomly selected day, the tip will be more than €160?

Correct answer:

p =  30.85 %

Step-by-step explanation:

$$\begin{gathered} \mu =130\text{eur} \\ \sigma =60 \\ a=160\text{eur} \\ {a}_0=\mu +\sigma /2 \\ {a}_0=a \\ p=100\cdot 0.3085=30.85\% \end{gathered}$$

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