In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 43 and a standard deviation of 6. Using the empirical rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 31 and 55

5% of daily phone calls numbering between 31 and 55.

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 43

Standard Deviation, σ = 6

We are given that the distribution of  number of phone calls is a bell shaped distribution that is a normal distribution.

Empirical Formula:

We have to find the percentage of daily phone calls numbering between 31 and 55

We can write:

Thus, by Empirical rule around 95% of daily phone calls numbering between 31 and 55.

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.

x = 3 ± √(5+y)