Question

At Initech, the salaries of the employees are normally distributed with a mean of $46,000 and standard deviation of $5,000. You must submit work for each part this question. Suggestion: draw a normal curve for each part Part 1: Mr. Patel is paid $52,000. What percentage of employees of Initech are paid more than Mr. Patel? (3 marks) Z-score: Percentage, 2 decimal places: Part 2: What percentage of employees are paid between $40,000 and $50,000? (4 marks) Z-scores:

Answer 1

sol H= 46,000, r = 5000 Part 1 : more than patel, X = 522000 52000 - 46000 - 1.20 z = X-l 5000 11.517 0.1151 = Percentage: Plz>123) and 50,000 Pasta! between 40,000 50000 - U 40000-4 and Z-score 50000 – $46000 40000 - 46000 and 5000 01 5000 and - 1.20 0.80 Percentaje: - P(-01-20 01:20 and 0.80) = P(-1-20 <<<0-80) = 67.31 Part 3 (12:501) P(Z >2) = 0.125 Z 1.15 et zo = 46000 + 1.15 * 5000 = 51750 salary Part 4 0.90 (906) P(Z <2) = Z 1.282 Salary = u + 20 = 46000 +12 82* 5000 = 52410 CS Scanned with CamScanner