The probability that a newborn baby does not cry after midnight is 2/50. The probability that a newborn baby cries once after midnight is 11/50. The probability that a newborn baby cries twice after midnight is 23/50. The probability that a newborn baby cries thrice after midnight is 9/50. The probability that a newborn baby cries for 4 times after midnight is 4/50. The probability that a newborn baby cries for 5 times after midnight is 1/50.   a. Find the expected value of the number of times a newborn baby’s crying wakes its mother after midnight. (The expected value is the expected number of times per week a newborn baby’s crying wakes its mother after midnight.) b. Calculate the variance and standard deviation of the variable.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 23E
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The probability that a newborn baby does not cry after midnight is 2/50. The probability that a newborn baby cries once after midnight is 11/50. The probability that a newborn baby cries twice after midnight is 23/50. The probability that a newborn baby cries thrice after midnight is 9/50. The probability that a newborn baby cries for 4 times after midnight is 4/50. The probability that a newborn baby cries for 5 times after midnight is 1/50.

 

a. Find the expected value of the number of times a newborn baby’s crying wakes its mother after midnight. (The expected value is the expected number of times per week a newborn baby’s crying wakes its mother after midnight.)
b. Calculate the variance and standard deviation of the variable.

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