Answer:
a. μ = 1.7
b. Var(x)=1.21
c. σ=1.1
Step-by-step explanation:
a.
Mean formula: E(X)=μ=∑x * P(x)
μ = 0*0.1 + 1*0.4 + 2*0.3 + 3*0.1 + 4*0.1
μ = 0+0.4+0.6+0.3+0.4
μ = 1.7
b.
Variance Formula: Var(x)= ∑[x^2 * P(x)] - μ^2
Var(x)=(0-1.7)^2(0.1) + (1-1.7)^2(0.4) + (2-1.7)^2(0.3) + (3-1.7)^2(0.1) + (4-1.7)^2(0.1)
Var(x)=1.21
c.
Standard deviation: √Var(x)
σ=√1.21
σ=1.1
