5. There is a police traffic stop on the Esenboga road and the winter tire contr

Question

5. There is a police traffic stop on the Esenboga road and the winter tire control is made by police officers for the cars passing there. Daily 500 cars use this way and 12 percentages of them are fined because they do not have winter tires. The fine is 500 Turkish liras (a) Find the expected value for the number of traffic fines (b) Compute the variance for the number of traffic fines. (c) Find the mean for the traffic fines in terms of Turkish liras (d) Compute the variance for the traffic fines in terms of Turkish liras.

Explanation / Answer

n = 500

p = 0.12

So,

q = 1 - p = 0.88

Fine = 500

(a) Expected value for the number of traffic fines = np = 500 X 0.12 = 60

(b) Variance for the number of traffic fines = npq = 500 X 0.12 X 0.88 = 52.8

(c) The mean for the traffic fines in terms of Turkish liras = 60 Nos. X 500 Turkish liras = 30,000 Turkish liras

(d) The variance for the traffic fines in terms of Turkish liras = 52.8 X 500 X 500 Turkish liras2

                                                                                    = 13,200,000 Turkish liras2

Related Questions

Navigate

• Browse (All)
• Browse 5
• Subjects

---

---

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