A study of mid-size city found that police response time to emergency calls is n

Question

A study of mid-size city found that police response time to emergency calls is normally distributed with a mean of 9 minutes and a standard deviation of 4 mins. A) What percent of the police response time were 10 minutes or less? B) Approximately what percent of the response times were between 5 and 13 minutes? C) If the city receives 1000 emergency calls per week, how many of those calls have a police response time of 20 min. or more? D) The city's goal is to have at least 95% of its emergency calls responded to within 15 minutes or less. Is the city currently meeting the goal? Explain Why or why not.

Explanation / Answer

a) (10-9)/4 = 0.25 P = 0.5987 b) (13-9)/4 = 1 P1 = 0.8413 (5-9)/4 = -1 P2 = 0.1587 P = P1-P2 = 0.6826 c) (20-9)/4 = 2.75 P = 1-0.9970 = 0.0030 No of cases = 0.0030 * 1000 = 30 d) for 15 minutes respond time probability that police respond (15-9)/4 = 1.5 P = 0.9332 so it is 93.32% which is less than 95%

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.