1. Pennsylvania Turn pike on a particular day The number of cars and trucks that

Question

1. Pennsylvania Turn pike on a particular day The number of cars and trucks that used, and did not use, the E-Z Pass on that same day was also E Z Pass Use the folowing table, which shows the number fo cars and trucks that used the recorded.'" E-Z Pass Used Did not use Total Cars 527 935 1462 Trucks 316 683 Total 843 1618 2461 If one of these vehicles is selected at random, determine the probability (as a decimal number rounded to four decimal places) that the a) vehicle was a car b) vehicle used the E-Z Pass. c) vehicle used the E-Z Pass, given that the vehicle was a car. d) vehicle used the E-Z Pass, given that the vehicle was a truck. e) vehicle was a car, given that the vehicle used the E-Z Pass. f) vehicle was a truck, given that the vehicle used the E-Z Pass

Explanation / Answer

(a) P(Car) = 1462/2461 = 0.5941

(b) P(E-Z Pass) = 843/2461 = 0.3425

(c) P(E-Z Pass/Car) = P(E-Z Pass & Car)/P(Car)

                                = 527/1462 = 0.3605

(d) P(E-Z Pass/Truck) = P(E-Z Pass & Truck)/P(Truck) = 316/999 = 0.3163

(e) P(Car/E-Z Pass) = P(Car & E -Z Pass)/P(E-Z Pass) = 527/843 = 0.6251

(f) P(Truck/E-Z Pass) = P(Truck & E-Z Pass)/P(E-Z Pass) = 316/843 = 0.3749

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

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