SOLUTION: Hello! I tried solving this problem and even used my notes. But it's not making sense to me and I'm not sure what method I should be using. I am getting really weird answers. Any h

Question 1166856: Hello! I tried solving this problem and even used my notes. But it's not making sense to me and I'm not sure what method I should be using. I am getting really weird answers. Any help is appreciated! Thank you!

2. The surf report at the California coast for tomorrow indicates that waves will be 1 foot minimum but will reach up to 9 feet. Each wave height is equally likely (i.e. uniformly distributed). (Im really confused on this one. So I guessed. I looked at the powerpoint notes but I don’t quite understand my answer.) is it 1/9?

a.) What is the probability that the waves will less than 2 feet in height?
3.16?
b.) What is the probability that the waves will be between 4 to 6 feet high (inclusive)?

Answer by ikleyn(52847) (Show Source): You can put this solution on YOUR website!
.

You do not understand the meaning of the problem.

The problem says that the height of waves is UNIFORMULY DISTRIBUTED between the marks 1 ft and 9 ft.


Then they ask 


(a)  What is the probability that the waves will less than 2 feet in height ?


        Less than 2 feet means that it is between 1 ft and 2 ft.

        Comparing the length of this interval [1 ft, 2 ft], which is 2-1 = 1 ft,
        with the total possible interval from 1 ft to 9 ft,
        we see that the probability is  .



(b)  In this case, the observation is between 4 ft and 6 ft: the length of the 
     interval is 6-4 = 2 ft

      Comparing it with the total possible interval from 1 ft to 9 ft, 
      we see that the probability of such observation is   =  .    ANSWER

Solved and explained, patiently and carefully.

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