I need help with question (b) (c) (g) 12. For each of the following pairs of eve
ID: 3041629 • Letter: I
Question
I need help with question (b) (c) (g) 12. For each of the following pairs of events, explain why A and B are dependent or independent. a) Consider the population of U.S. citizens, from which a person is randomly selected. Let A denote the event that the person is a member of a chess club and let B denote the event that the person is a woan b) Consider the population of male U.S. citizens who are 30 years of age. A man is selected at random from this population. Let A denote the event that he w be bald before reaching 40 years of age and let B denote the event that his father went bald before reaching 40 years of age (c) Consider the population of students who attend high school in the U.S. A student is selected at random from this population Let A denote the event that the student speaks Spanish and let B denote the event that the student lives in Texas d) Consider the population of months in the 20th century. A month is selected at random from this population. Let A denote the event that a hurricane crossed the North Carolina coastline during this month and let B denote the event that t snowed in Denver, Colorado, during this month (e) Consider the population of Hollywood feature films produced dur- ing the 20th century. A movie is selected at random from this population. Let A denote the event that the movie was filmed in color and let B denote the event that the movie is a western
Explanation / Answer
we know that
When two events are said to be independent of each other, what this means is that the probability that one event occurs in no way affects the probability of the other event occurring
b)
in this case the event is going bald before 40 years of age. It is not given whether this is any genetic relationship of baldness between father and son , hence the 2 events are independent of one other
c)
Again , in this case the 2 events are not related as there could be students who know spanish and doesnt live in Texas. Hence the probability that student speaks spanish and lives in Texas are independent on each other
g)
Here the 2 events are dependent as we are first considering a event that the person is phd , then we need to find if this person is female. Hence selecting a female is dependent on the slection of a phd student