Step-by-step explanation:
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Answer: 0.8413
Step-by-step explanation:
population mean = 3
population variance = 0.03
sd (standard deviation) = √0.03
Let x = sample mean
x has a mean of 3 and sd of √0.03/√3 = √0.01 = 0.1
And we can aprox the sample mean distribution using a normal distribution
Note: this approximation maybe is not so good (n = 3)
with mean = 3 and sd = 0.1
z = (x-3)/0.1 has a standard normal distribution
P(x<3.1) = P(z<(3.1-3)/0.1) = P(z<1) =0.8413
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* secx = 1/cosx
cos²x+sin²x= 1
**sin²x = 1-cos²x
by (*) :
secx-secx sin²x=(1/cosx) -(1/cosx) sin²x
= (1/cosx)(1- sin²x)....factory :(1/cosx)
by(**)
secx-secx sin²x = (1/cosx)cos²x
secx-secx sin²x = cosx ...( simplify by : cosx)