Question

Uniform A study of the time spent shopping in a supermarket for a market basket of...

  1. Uniform

A study of the time spent shopping in a supermarket for a market basket of 20 specific items showed an approximately uniform distribution between 20 and 40 minutes.

  1. What is the probability that the shopping time will be between 25 and 30 minutes? (draw the graph and shade in the appropriate area!)
  2. What is the probability that the shopping time will be less than 35 minutes? (draw the graph and shade in the appropriate area!)
  3. What is the probability that the shopping time will be more than 27 minutes? (draw the graph and shade in the appropriate area!)
  4. What is the mean shopping time?
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

a)

probability that the shopping time will be between 25 and 30 minutes=(30-25)/(40-20)=0.25

b)

probability that the shopping time will be less than 35 minutes=P(X<35)=(35-20)/20 =0.75

c)

probability that the shopping time will be more than 27 minutes =P(X>27)=(40-27)/20 =0.65

d)

mean =(20+40)/2 =30 minutes

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