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ID: 3174628 • Letter: 9
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929% Mon 12:47 PM Chrome File Edit View History Bookmarks People Window Help VA Hwy #5 (sections 3. 3.3) x Andra Love Can save it A x c Home I Chegg.com Pedro e O www.webassign.n web/Student/Assignment-Responses/submit?dep 15879219 NEW Three couples and two single individuals have been invited to an investment seminar and have agreed to attend. Suppose the probability that any particular couple or individual arrives late is 0.43 (a couple will travel together in the same vehicle, so either both people will be on time or else both will arrive late). Assume that different couples and individuals are on time or late independently of one another. Let X the number of people who arrive late for the seminar. (a) Determine the probability mass function of X. [Hint: label the three couples 1, 2, and #3 and the two individuals #4 and 5.J Round your answers to four decimal places 0602 1 0908 2 704 3 2055 4 .1802 5 550 6 0843 7 0390 8 0147 (b) obtain the cumulative distribution function of X. (Round your answers to four decimal places.) FIX) 0 0602 1 0.1515 X 2 3219 3 5274 7076 5 8626 9469 9859 8 1.0000 Use the cumulative distribution function of X to calculate P(3 s X s 6). Round your answer to four decimal places.) PO3 s X S 6)Explanation / Answer
b) F(0) = 0.0602
F(1) = 0.0602 + 0.0908 = 0.1510
F(2) = 0.1510 + 0.1704 = 0.3214
F(3) = 0.3214 + 0.2055 = 0.5269
F(4) = 0.5269 + 0.1802 = 0.7071
F(5) = 0.7071 + 0.1550 = 0.8621
F(6) = 0.8621 + 0.0843 = 0.9464
F(7) = 0.9464 + 0.0390 = 0.9854
F(8) = 0.9854 + 0.0147 = 1
c) P(3 < X < 6) = F(6) - F(2)
= 0.9464 - 0.3214
= 0.6250
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