This Question: 1 pt 15 A frequency distribution for the class level of students

Question

This Question: 1 pt 15 A frequency distribution for the class level of students in an introductory statistics course is shown. Two students are randomly selected without replacement. Complete parts (a) Class Frequency Freshman Sophomore16 through (d). Junior Senior a. Determine the probability that the first student obtained is a junior and the second a senior. The probability that the first student obtained is a junior and the second a senior is Type an integer or a decimal rounded to three decimal places as needed.) b. Determine the probability that both students obtained are sophomores. The probability that both students obtained are sophomores is (Type an integer or a decimal rounded to three decimal places as needed.) c. Draw a tree diagram for this problem. O Click here to view tree diagram D O Click here to view tree diagram B O Click here to view tree diagram C O Click here to view tree diagram A. d. What is the probability that one of the students obtained is a freshman and the other a sophomore? The probability that one student is a freshman and the other a sophomore is (Type an integer or a decimal rounded to three decimal places as needed.) Click to select your answer(s).

Explanation / Answer

Total students = 6 + 16 + 11 + 6 = 39

a) P(first is junior and second is senior) = P(first is junior) * P(second is senior) = (11/39) * (6/38) = 0.045

b) P(both students are sophomores) = (16/39) * (15/38) = 0.162

c) diagram is not in the question.

d) P(one is freshman other is a sophomore) = P(first is freshman) * P(second is sophomore) + P(first is sophomore) * P(second is frshman)

                                                                      = (6/39) * (16/38) + (16/39) * (6/38)

                                                                      = 0.130

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