Answer:
[tex]P(x \ge 45000) = 0.77935[/tex]
Step-by-step explanation:
Given [Missing from the question]
Exhibit Teacher's Salary:
[tex]\bar x=50000[/tex]
[tex]s = 6500[/tex]
Required
Calculate [tex]P(x\ge 45000)[/tex]
First, we calculate the z score
[tex]z = \frac{x - \bar x}{s}[/tex]
[tex]z = \frac{45000 - 50000}{6500}[/tex]
[tex]z = \frac{-5000}{6500}[/tex]
[tex]z = -0.77[/tex]
[tex]P(x \ge 45000) = P(z \ge -0.77)[/tex]
[tex]P(x \ge 45000) = 1 - P(z \le -0.77)[/tex]
From the table:
[tex]P(z \le -0.77) = 0.22065[/tex]
So, we have:
[tex]P(x \ge 45000) = 1 - 0.22065[/tex]
[tex]P(x \ge 45000) = 0.77935[/tex]
