What is the probability that a randomly selected depth is less than 3.30 m?  What is the probability that a randomly selected depth is between 2.20 m and 5.00 m?  What is the expected value of the water depth?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between 1.50 m and 5.50 m.

  1. What is the probability that a randomly selected depth is less than 3.30 m? 
  2. What is the probability that a randomly selected depth is between 2.20 m and 5.00 m? 
  3. What is the expected value of the water depth? 
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