Using probability distribution liste
x. 0. 1. 2. 3
P(x). 0.2. 0.1. 0.3. 0.4
A- find the mean ,variance,and standard deviation
B- what is the probability that p(x is at least 1)?
C-what is the probability that p(x is less than 3)?
Σx2p = 4.9
Var(X) = Σx2p − μ2
Standard Deviation =
σ = √Var(X)
σ = √(1.29)
B- the probability that p(x is at least 1) = P(x=1) +P(x=2)+ P(x=3) = 0.1 + 0.3+ 0.4 = 0.8
C- the probability that p(x is less than 3) = P(x=0) +P(x=1)+ P(x=2) = 0.2 + 0.1+ 0.3 = 0.6
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