[See Solution] If x is normally distributed with mean μ and standard deviation σ = 4, and given that the probability that x is less than 32 is
Question: If x is normally distributed with mean \(\mu \) and standard deviation \(\sigma \) = 4, and given that the probability that x is less than 32 is 0.0228, find the value of \(\mu \).
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![[Solution] A lightbulb has a normally distributed](/images/solutions/MC-solution-library-76367.jpg "[Solution] A lightbulb has a normally distributed light output")
[Solution] A lightbulb has a normally distributed light output
![[Solved] This question has two parts. A](/images/solutions/MC-solution-library-76368.jpg "[Solved] This question has two parts. A local ice-cream store")
[Solved] This question has two parts. A local ice-cream store
(See Steps) 3.10; solve parts (a)-(c) using Minitab. Submit the
![[Solution] Let X be a random variable.](/images/solutions/MC-solution-library-76370.jpg "[Solution] Let X be a random variable. Its generating function")
[Solution] Let X be a random variable. Its generating function
![[Steps Shown] (a) Let X˜N(μ ,σ ^2).](/images/solutions/MC-solution-library-76371.jpg "[Steps Shown] (a) Let X˜N(μ ,σ ^2). Show that G_X(s)=E(s^X)=e^μ")
[Steps Shown] (a) Let X˜N(μ ,σ ^2). Show that G_X(s)=E(s^X)=e^μ
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