The parking authority in downtown Halifax reported the following information for

Question

The parking authority in downtown Halifax reported the following information for a sample of 250 customers on the number of hours cars are parked and the amount they are charged: Number of Hours Frequency Amount Charged 1 20 3 2 38 6 3 53 9 4 45 12 5 40 14 6 13 16 7 5 18 8 36 20 Total 250

(a) Convert the information on the number of hours parked to a probability distribution.

(b) Is this a discrete or a continuous probability distribution?

(c) Find the mean and the standard deviation of the number of hours parked. (Round to nearest 1000th.)

(d) How would you answer the question, how long is a typical customer parked? (Round to nearest 1000th.)

(e) Find the mean and standard deviation of the amount charged.

Explanation / Answer

(a) The probability distribution is given below.

(b) This is a discrete probability distribution.

(c) Mean = sum(Hours * Frequency)/sum(Frequency) = 4.144.
Standard deviation = square root of (sum((Hours - Mean)^2 * Frequency)/sum(Frequency)) = 2.091.

(d) A typical customer is parked for mean number of hours, that is, 4.144 cars.

(e) Mean = sum(Amount Charged * Probability) = $11.53.
Standard deviation = square root of (sum((Amount Charged - Mean)^2 * Probability)) = $5.00.

Hours Frequency Amount Charged Probability Hours * Frequency (Hours - Mean)^2) * Frequency Amount Charged * Probability (Amount Charged - Mean)^2 * Probability 1 20 3 0.08 20 197.69 0.24 5.82 2 38 6 0.15 76 174.68 0.912 4.65 3 53 9 0.21 159 69.36 1.908 1.36 4 45 12 0.18 180 0.93 2.16 0.04 5 40 14 0.16 200 29.31 2.24 0.97 6 13 16 0.05 78 44.78 0.832 1.04 7 5 18 0.02 35 40.78 0.36 0.84 8 36 20 0.14 288 535.27 2.88 10.33

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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