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[answered] A statistics instructor collected data on the time it takes


1. A statistics instructor collected data on the time it takes the students to complete a test. The test taking time is uniformly distributed within a range of 55 minutes to 85 minutes.?

A. Determine the height and draw this uniform distribution

B. How long does the typical test taking time?

C. Determine the standard deviation of the test taking time

D. What is the probability a particular student will take less than 50 minutes?

E. What is the probability a particular student will take between 55 and 70 minutes?


2. Today's local newspaper lists 22 stocks "of local interest." Of these stocks, nine increased, five decreased and eight remained unchanged yesterday. If we decide to buy two of the stocks, what is the likelihood that both increased yesterday?


1.

 

Answer a.

 

Let X shows the test taking time. Since X is uniformly distributed within a

 

range of 55 minutes to 85 minutes so pdf of X is

 

F(x) = 1 / (85 ? 55) = 1/30 = 0.0333

 

Height = 1/30 Answer...

 


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