SOLUTION: Given that x is a normal variable with mean μ = 44 and standard deviation σ = 6.1, find the following probabilities. (Round your answers to four decimal places.)
(a) P(
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Question 1124627: Given that x is a normal variable with mean μ = 44 and standard deviation σ = 6.1, find the following probabilities. (Round your answers to four decimal places.)
(a) P(x ≤ 60)
(b) P(x ≥ 50)
(c) P(50 ≤ x ≤ 60)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd
z<(60-44)/6.1 or <2.62
a. probability z < 2.62 is 0.9956
>=50 is z>=(50-44)/6.1 or z>0.98
b. probability of this is 0.1635
c. Between the two is z between 0.98 and 2.62 or 0.1591
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