ind the mean, variance, and standard deviation of ?. What is the probability that ? falls within the interval (? − 15, ? + 15)?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 40E: Pygmy Height The average height of a member of a certain tribe of pygmies is 3.2ft, with a standard...
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  1. Consider the random variable ? with the following probability distribution:

x

10

29

31

41

50

p(x)

0.25

0.10

0.15

0.30

0.20

  1. Find the mean, variance, and standard deviation of ?.
  2. What is the probability that ? falls within the interval (? − 15, ? + 15)?
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