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.

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.