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Sagot :
Answer:
0.15866
Step-by-step explanation:
Given that :
Population mean = μ = 4560
Standard deviation, σ = 600
Sample size, n = 100
Using the relation :
(x - μ) ÷ σ/sqrt(n)
P(x ≤ 4500) :
(4500 - 4560) ÷ 600/sqrt(100)
P(x ≤ 4500) = -60 / (600/10)
P(x ≤ 4500) = - 60 / 60
P(x ≤ 4500) = - 1
P(Z ≤ - 1) :
Using the Z probability calculator ;
P(Z ≤ - 1) = 0.15866
Hence, P(x ≤ 4500) = 0.15866
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