SOLUTION: need help with (c)
Given that x is a normal variable with mean μ = 44 and standard deviation σ = 6.8, find the following probabilities. (Round your answers to four decim
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Question 1079600: need help with (c)
Given that x is a normal variable with mean μ = 44 and standard deviation σ = 6.8, find the following probabilities. (Round your answers to four decimal places.)
(a) P(x ≤ 60)
.9907
Correct: Your answer is correct.
(b) P(x ≥ 50)
-.8112
Incorrect: Your answer is incorrect.
(c) P(50 ≤ x ≤ 60)
.0093
Incorrect: Your answer is incorrect.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Given that x is a normal variable with mean μ = 44 and standard deviation σ = 6.8, find the following probabilities. (Round your answers to four decimal places.)
(a) P(x ≤ 60) = 0.9907
Correct: Your answer is correct.
-----------------------------------
(b) P(x ≥ 50)
z(50) = (50-44)/6.8 = 0.8823
P(x <= 50) = P(z <= 0.8823) = normalcdf(-100,0.8823) = 0.8112
--------------------
(c) P(50 ≤ x ≤ 60) = P(0.8823<= z <=2.3529)
= normalcdf(0.8823<2.3529) = 0.1795
-------------
Cheers,
Stan H.
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