1. Alarm Clock — Redundancy: You have two alarm clocks. The first one is success

Question

1. Alarm Clock — Redundancy: You have two alarm clocks. The first one is successful 93% of the time and the second one is successful 63% of the time (it turns out your second one was actually less reliable than the first).

2. Ski Passes: The following table gives some information about a group of 200 college students. The rows tell whether or not the student has a car. The columns describe at which mountain the students have a ski pass.

Note: No student has a pass at more than one mountain.

If one student is randomly selected, what is the probability that the following will occur? Round your answers to 3 significant digits*.

  Bolton     Stowe     Smuggler's      Sugarbush      No Pass   Has a Car      18 13 10 29 25 Does not have a Car      24 5 4 13 59

Explanation / Answer

a) as given in above

probability that it will succeed on the morning of an important exam =0.93

b) probability that at least one of them is successful on the morning of an important exam =1-P(both of them failed)

=1-(1-0.93)*(1-0.63) =0.9741

2) Ski passess

here total number of cars

from above table  probability that

a) student has a pass at Stowe or Sugarbush =(18+42)/200 =60/200 =3/10

b) The student has a car or a pass to Sugarbush.=(95+13)/200 =108/200=27/50

c)e student has a car or a ski pass somewhere =(200-59)/200 =141/200

  Bolton     Stowe     Smuggler's      Sugarbush      No Pass   total Has a Car      18 13 10 29 25 95 Does not have a Car      24 5 4 13 59 105 total 42 18 14 42 84 200

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