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1. One hundred persons were asked, "Do you favour regional integration?". Of the 35 that answered "no" to the question, 14 were female. Of the 65 that answered "yes" to the question, 30 were female. a) Draw a completed contingency table, showing totals, to illustrate the information above. b) If one person was randomly selected, what is the probability that the person is: (i) female? (ii) female or responded "no"? (iii) female given that they responded "no"?

1. One hundred persons were asked, "Do you favour regional integration?". Of the 35 that answered "no" to the question, 14 were female. Of the 65 that answered "yes" to the question, 30 were female. a) Draw a completed contingency table, showing totals, to illustrate the information above. b) If one person was randomly selected, what is the probability that the person is: (i) female? (ii) female or responded "no"? (iii) female given that they responded "no"?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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1. One hundred persons were asked, "Do you favour regional integration?". Of the 35 that answered "no" to the question, 14 were female. Of the 65 that answered "yes" to the question, 30 were female. a) Draw a completed contingency table, showing totals, to illustrate the information above. b) If one person was randomly selected, what is the probability that the person is: (i) female? (ii) female or responded "no"? (iii) female given that they responded "no"? 2. Sixty percent (60%) of Students of the Reginal College were took French. Fifteen (15) were randomly and independently sampled. a) Calculate the probability that at most 2 out of the 15 randomly selected students took French. b) of the 15 students, how many do you expect to take French. 3. Table 1 below shows the probability distribution of hurricanes that have made landfall in the Caribbean. The random variable, X, is the category of the hurricane. Category 1 is the weakest hurricane level while category 5 is the strongest. Table 1 3 0.13 1 P(X=x) 0.41 X 2 0.34 4 0.07 5 * a) Find the value of '*'. b) Find the expected category of hurricane to make landfall, E(X). c) What is the prob d) Calculate the variance. that a Catego 4 or stronger hurricane will make landfall?
Transcribed Image Text:1. One hundred persons were asked, "Do you favour regional integration?". Of the 35 that answered "no" to the question, 14 were female. Of the 65 that answered "yes" to the question, 30 were female. a) Draw a completed contingency table, showing totals, to illustrate the information above. b) If one person was randomly selected, what is the probability that the person is: (i) female? (ii) female or responded "no"? (iii) female given that they responded "no"? 2. Sixty percent (60%) of Students of the Reginal College were took French. Fifteen (15) were randomly and independently sampled. a) Calculate the probability that at most 2 out of the 15 randomly selected students took French. b) of the 15 students, how many do you expect to take French. 3. Table 1 below shows the probability distribution of hurricanes that have made landfall in the Caribbean. The random variable, X, is the category of the hurricane. Category 1 is the weakest hurricane level while category 5 is the strongest. Table 1 3 0.13 1 P(X=x) 0.41 X 2 0.34 4 0.07 5 * a) Find the value of '*'. b) Find the expected category of hurricane to make landfall, E(X). c) What is the prob d) Calculate the variance. that a Catego 4 or stronger hurricane will make landfall?
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