ADM2303 Assignment 2 solution :Probability Theory :Summer 2015

Q1. Canada conducts a census every five years. Federal, provincial, and local governments use census data to shape public policy. In 2006, Canada tried something no other country had ever tried - census questionnaires that could be completed online. Sixty-six percent of households completed their census questionnaire by the May 16 deadline. (Households that did not respond by the deadline received follow-up letters and phone calls.)
Nineteen percent of households responded online ; sixteen percent of households responded on time and online

Question 2.
Part one - Seventy-six percent of Ottawans speak English only when they’re at home, 10% speak only French, 11% speak a non-official language, and the remainder speak more than one language. You are conducting a poll by calling Ottawans at random. In your first three calls, what is the probability you talk to :

Part two - Sixty percent of Ottawans drive their own vehicles to work, 7% ride as passengers in someone else’s vehicle, 22% take public transit, 10% walk or cycle, and the remainder get to work some other way. Again you are conducting poll by calling Ottawans at random. In your first four calls, what is the probability you talk to :

Question 3.
A survey of students in a large Statistics for Management class asked about their birth order (1 = oldest or only child ) and which faculty of the university they were studying under. Here are the data :
Cost per ounce Faculty 1 or only 2 or more Total Art & Sciences 34 23 57 Agriculture 52 41 93 Human Ecology 15 28 43 Other 12 18 30 Total 113 110 223

Question 4.
Elizabeth if flying from Moncton to Vancouver with a connection in Montreal. The probability that her first flight leaves on time is 0.15. If the flight is on time, the probability that her luggage will make the connecting flight in Montreal is 0.95, but if the first flight is delayed, the probability that the luggage will make it is only 0.65.
a) Draw a ”tree diagram” and organize all the information in the diagram.