42 5. Consider the following questions for data in a contingency Contingency Tab
ID: 3304289 • Letter: 4
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42 5. Consider the following questions for data in a contingency Contingency Table Male Female RowTotal 30 50 12 80 15 Others ColTotal 35 65 100 1) If we consider Male and Female when we take one student out of these 100, what are going to be the possible resul(s)? 2) If we consider the academic level from freshmen, sophomore, to Junior to Senior, then what is going to be the possible 3) If we consider the Male and Female, again when we take one student out, could we get someone who is neither Male nor Female? 4) If we know, the chance to have a Female student in the drawing is 65/100, what is the chance to have a Male? 5) If we assume each student is a Freshman, or a Sophomore, or Others, and any student would be in one of these groups, then these groups are mutually exclusive. 6) If we assume each student is a Freshman, or s Sophomore, or Others, and any student would be in one and only one of these groups, then these groups are collectively exhaustive. So the change to have a Freshman plus that for a Sophomore plus that for Others should be 7) What is the total number of Male students? 35 or the marginal total number of Male students are What is the chance to get a Male student in this case? 9) What is the change to have someone who is a Freshman? 10) What is the chance to get someone who is a Male and is a freshman? 11) Among the Female students, what is the chance to get someone who is a Freshman? 12) Among the Freshmen students, what is the chance to get somcone who is a Female? 8) ) What is the chance to get someone who is either a Freshman or a Female?Explanation / Answer
(According to Chegg policy, only four subquestions will be answered. Please post the remaining in another question)
Despite the policy, I shall solve 8!
1. The possible results are {Male, Female}
2. The possible coutcomes are {Freshmen, Sophomore, Others}
3. Since the column totals for male and female add up to 100 which is also the total for all students, there is no chance of getting a student who is neither male nor female.
4. The total of female is 65 and the total for male is 35. Since the chance of getting a female is 65/100, the chance of getting a male must be 35/100.
5. Since the row totals for freshman, sophomore and others add up to 100 which is also the total for all students, the three are indeed mutually exclusive.
6. Since the three events are collectively exhuastive, the chance of any of these events happening must be 100% or with a probability of 1.
7. The total number of male students is the column total i.e 35.
8. Total number of males = 35
Total number of students = 100
=> Chance of getting a male = 35% or a probability of 0.35
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