To get to work, a commuter must cross train tracks. The time the train arrives v

Question

To get to work, a commuter must cross train tracks. The time the train arrives varies slightly from day to day, but the commuter estimates he'll get stopped on about 16% of workdays. During a certain 5-day work week, find the probabilities that the commuter gets stopped as described in parts a through d.

a) What is the probablity that the computer would get stopped on Monday and again on Tuesday? (type an integer or decimal rounded to five decimal places as needed)

b) What is the probablity that the computer would get stopped for the first time on Thursday? (type an integer or decimal rounded to five decimal places as needed)

c) What is the probablity that the computer would get stopped every day? (type an integer or decimal rounded to five decimal places as needed)

d) What is the probablity that the computer would get stopped at least once during the week? (type an integer or decimal rounded to five decimal places as needed)

2. For a sales promotion, the manufacturer places winning symbols under the caps of 19 % of all its soda bottles. If you buy a six-pack of soda, what is the probability that you win something?

What is the probablity of winning something? (round to three decimal places as needed)

Explanation / Answer

a)probablity that the computer would get stopped on Monday and again on Tuesday=P(stopped on monday)*P(stopped on tuesday)=0.16*0.16 =0.0256

b) probablity that the computer would get stopped for the first time on Thursday=P(will work from monday to wednesday and stopped on thursday)=(1-0.16)3*0.16=0.09483

c) probablity that the computer would get stopped every day =0.165 =0.00010

d)probablity that the computer would get stopped at least once during the week=1-P(does not get stopped)

=1-0.00010 =0.99990

2)probability that you win something =1-P(winning none) =1-(1-0.19)6=0.718

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