Given a normal distribution with a mean of 128 and a standard deviation of 15, what percentage of values is within the interval 83 to 173?

a. 32%
b. 50%
c. 68%
d. 95%
e. 99.7%

E. 99.7%

Step-by-step explanation:

Calculate each z-score.

z = (x − μ) / σ

z = (173 − 128) / 15

z = 3

z = (x − μ) / σ

z = (83 − 128) / 15

z = -3

You can use a z-score table, or use the empirical rule.

P(-3 < z < 3) = 99.7%.

d

step-by-step explanation:

  or  

step-by-step explanation:

if the four friends split the cost, p, of the pizza evenly, then each friend pays one-fourth of the cost of the pizza.

the expression is   or