Question

The average annual cost of tuition at Dr.B U is normally distributed with a mean of $18,695 and a standard deviation of $2,163. Fred, an undergraduate student at Dr. B U, told his parents that his annual tuition will cost $23,185. What is the approximate probability that Fred’s annual cost of tuition is less than he claims?

Answer 1

Answer:

98.10% of the tuiton cost will be lower than what the undergratuate stdent told their parents

Explanation:

We have to normilize the tuiton standard deviation adn then, look into the table for the accumulated probabiliti at their Z value:

$P_z = \frac{X - \mu}{\sigma} \\\\P_z = \frac{23,185-19,695}{2,163}$

Pz = 1,613499768839575

We look into the able and the probability is 0.981044728 that is 98.10% of the tuiton cost will be lower than what the undergratuate stdent told their parents