2. A national survey found that 61% of college students attend four-year institu
ID: 3353943 • Letter: 2
Question
2. A national survey found that 61% of college students attend four-year institutions while the rest attend two-year institutions. Males make up 44% of the students in the four-year institutions and 41% of the students in the two-year institutions. Let M represent the event the student is male and T represent the event the student attends a two-year institution. a. [3 pts) Write each value in proper probability notation. 0.61 = P( 0.44 = P( 0.41 = P( b. [3 pts] Create a hypothetical two-way table of 100,000 college students to represent this situation. MC Total M T Tc | Total 100000 c. Use your table from part b. to calculate P(TM). d. [2 pts) Interpret the value from c. in the context of the problem. Do not use the word "probability", “chance”, “likelihood" or any other synonym for probability in your interpretation. Hint: Review the definition of probability.Explanation / Answer
Answer to the question with explanation is as follows:
2.
a.
0.61 = P(T')
0.44 = P(M and T')
0.41 = P(M and T)
b.
M Mc total
T .41*39000 = 15990 =39000-15990 = 23010 39000
Tc 44000 17000 61000
c. P( T|M) = 15990/(15990+44000) = .2665
d. It means that given event M or given that it is a Male, the probability to student attends a 2-yer instituition
is .2665
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