The amount dispensed by a soft-drink dispensing machine has a normal distribution with mean μ and standard deviation 0.191 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 0.03? Use RStudio and round your answer to two decimal places.

The value of mean is  

Step-by-step explanation:

The normal distribution of the soft-drink dispensing machine can be stated statistically like

                    ~

The standard form representation is

     Now we need to obtain in such a way that

   In standard form

       Since

   This means

Now looking at the z-table for probability of 0.99 we obtain 1.88

    i.e

Making

1 is c

2 is a

3 is a

step-by-step explanation:

europa2433

europa2433

step-by-step explanation: