The amount dispensed by a soft-drink dispensing machine has a normal distribution with mean μ and standard deviation 0.155 ounce. The mean amount dispensed, μ , can be controlled. At what value should μ be set so that a 16 ounce cup will overflow with probability 0.01? Round your answer to two decimal places.

Step-by-step explanation:

Let x be a random variable that represent the amount dispensed by a soft-drink dispensing machine which has a normal distribution with mean μ and standard deviation 0.155 ounce.

To find : μ such that P(X>16)=0.01

Consider  P(X>16)=0.01

Since,

Also, z-table , one -tailed z-value for p-value of 0.01= 2.326

Then,