Households

Assignment-2

This assignment consists of 5 questions (Answer all questions)

(Due on 28 October 2005 by 5pm)

Question 1 (20 Marks)

(a) Households in a certain city were surveyed to determine whether they would or would not subscribe to a cable television service. The households were classified as “low,” “meddle,” or “high” income. The below gives the proportions of households in each of the six joint classifications.

|Income |Subscribe |
| |Yes |No |
|Low |0.03 |0.17 |
|Middle |0.14 |0.46 |
|High |0.10 |0.10 |

i) Find the probability that a randomly chosen household would subscribe ii) Are income and willingness to subscribe independent? iii) Given that a high-income family has been contacted, find the probability that the household will subscribe.

(b) The information that follows shows the distribution of the number of days of sick leave taken by 200 employees during a year:

|Days |0 |1 |2 |3 |4 |5 |6 |7 |
|Number of employees |20 |40 |40 |30 |20 |10 |10 |30 |

Let X denote the number of days of sick leave taken by an employee.

Find (i) [pic]; (ii) [pic]; (iii) [pic]); (iv) [pic]

Question 2 (20 Marks)

An executive fot Tri-State Coal