Question

Refer to the Exhibit Teacher's Salary. Find the probability that a randomly selected teacher receives a salary of $45,000 or more. (Do not round your answer)

Answer 1

Answer:

$P(x \ge 45000) = 0.77935$

Step-by-step explanation:

Given [Missing from the question]

Exhibit Teacher's Salary:

$\bar x=50000$

$s = 6500$

Required

Calculate $P(x\ge 45000)$

First, we calculate the z score

$z = \frac{x - \bar x}{s}$

$z = \frac{45000 - 50000}{6500}$

$z = \frac{-5000}{6500}$

$z = -0.77$

$P(x \ge 45000) = P(z \ge -0.77)$

$P(x \ge 45000) = 1 - P(z \le -0.77)$

From the table:

$P(z \le -0.77) = 0.22065$

So, we have:

$P(x \ge 45000) = 1 - 0.22065$

$P(x \ge 45000) = 0.77935$