A commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she​ hits, as shown below.     X=​# of red 0 1 2 3 4 5   ​P(X=​x) 0.04 0.24 0.35 0.13 0.13 0.11   ​(a) Compute the​ mean, or expected​ value, of the random variable X.   μ= ​(Round to one decimal place as​ needed.) ​(b) Compute the standard deviation of the random variable X.   σ= ​(Round the final answer to one decimal place as needed. Round all intermediate values to three decimal places as​ needed.)

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A commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red. She estimates the probability model for the number of red lights she​ hits, as shown below.
 
 
X=​#
of red
0
1
2
3
4
5
 
​P(X=​x)
0.04
0.24
0.35
0.13
0.13
0.11
 
​(a) Compute the​ mean, or expected​ value, of the random variable X.
 
μ=
​(Round to one decimal place as​ needed.)
​(b) Compute the standard deviation of the random variable X.
 
σ=
​(Round the final answer to one decimal place as needed. Round all intermediate values to three decimal places as​ needed.)
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