x f(x) (3) 0 0.15 1 ? 2 0.3 3 ? 4 0.2 the mean of the above distribution is known to be 2.15 (i.e., E(x)=2.15). Determine f(1) and (3). Compute the variance and the standard deviation for the above probability distribution. (Round your standard deviation to hree decimal places.) ariance standard deviation

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Chapter1: Combinatorial Analysis
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The following table shows part of the probability distribution for a random variable x.
X
0
1
2
3
4
f(x)
0.15
?
0.3
?
0.2
(a) The mean of the above distribution is known to be 2.15 (i.e., E(x)= 2.15). Determine f(1) and (3).
f(1) =
f(3) =
(b) Compute the variance and the standard deviation for the above probability distribution. (Round your standard deviation to
three decimal places.)
variance
standard deviation
Transcribed Image Text:The following table shows part of the probability distribution for a random variable x. X 0 1 2 3 4 f(x) 0.15 ? 0.3 ? 0.2 (a) The mean of the above distribution is known to be 2.15 (i.e., E(x)= 2.15). Determine f(1) and (3). f(1) = f(3) = (b) Compute the variance and the standard deviation for the above probability distribution. (Round your standard deviation to three decimal places.) variance standard deviation
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