The following table gives the probabilities that a certain computer will malfunction \(0,1,2,3,4,5\), or 6 times on any one day:

Use the formulas which define \(\mu\) and \(\sigma\) to find

(a) the mean of this probability distribution;

(b) the standard deviation of this probability distribution.

Transcribed Image Text:

Number of x malfunctions: 0 1 2 3 Probability: f(x) 0.17 0.29 0.27 0.16 0.07 0.03 0.01 4 5 6