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est: Test 2 - Chapters 14, 4, 5 This Question: 1 pt 15 of 20 ( A frequency distr

ID: 3065046 • Letter: E

Question

est: Test 2 - Chapters 14, 4, 5 This Question: 1 pt 15 of 20 ( A frequency distribution for the class level of students in an Class Frequency introductory statistics course is shown. Two students are randomly selected without replacement. Complete parts (a) Sophomore16 Freshman through (d) Junior Senior 12 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 diagcamC 0 Click here to view tree diagram Click to select your answer(s)

Explanation / Answer

Solution:- Total frequency = 5 + 16 + 12 + 8 = 41

a) the probability that the first student obtained is a junior and the second a senior is 0.059

=>  (12/41)*(8/40) = 0.059

b)  The probability that both students obtained are sophomores is 0.143

=> (16/41)*(15/41) = 0.143