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Indicated probability HELP?

I need the pass this last homework section to graduate and im stumped im horrible with math and im breaking down at this point.. i have 8 questions please someone...

1. assume the random variable x is normally distributed with mean (wierd character)..(u)=80 and standard deviation o=5 find the indicated probability
P(x<70) =
(round to four decimal places as needed)

Expert's answer

1. assume the random variable xx is normally distributed with mean (wierd character)...(u)=80 and standard deviation o=5 find the indicated probability


P(x<70)=P(x<70) =


(round to four decimal places as needed) Please show your work


P(x<70)=P(x805>112805)=P(x805>3.2)=by Central Limit Theorem=1F(3.2)=0.007P(x<70) = P\left(\frac{x-80}{5} > \frac{112-80}{5}\right) = P\left(\frac{x-80}{5} > 3.2\right) = \text{by Central Limit Theorem} = 1 - F(3.2) = 0.007

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