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To get to work a commuter must cross rain tracks. The time the rain arm es varies slightly from day to day butthe commuter estimates hell get stopped on about 14% o workdays. During a certain 5-day work week find the probabilities that the commuter gets stopped as described in parts a through d. a) On Monday and again on Tuesday b) For the first time on Thursday c) Every day d) At least once during the week

ANSWER ALL 4 QUESTIONS and DO NOT ROUND UP

 ANSWER
Given,
14% = 0.14
5 day work week
a.
on monday and again on tuesday,
continuous 2 days, so multiply 2 times
0.14 * 0.14 = 0.0196
b.
for the first time on thursday
(100% - 14% = 86%, 86% = 0.86)
monday to wednesday and on thursday
0.86 * 0.86 * 0.86 * 0.14 = 0.089
c.
every day
5 work days, monday to friday, so,
multiply 5 times
(0.14)^5 = 0.00005378
d.
at least once during the week
1 - P(not stopped) = 1 - 0.86^5 = 1 - 0.4704270176 = 0.5295

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  1. UnknownJune 13, 2019 at 12:31 AM

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