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Given a random variable X follows a Normal distribution with mean 10 and standard deviation 5, what is the probability that X lies within one standard deviation of the mean?
a) 0.4722
b) 0.9005
c) 0.6827
d) 0.9545

Respuesta :

Tundexi

Answer:

c) 0.6827

Step-by-step explanation:

We have to find P(-1<Z<1) by using z-table

P(-1<Z<1) = P(Z<1) – P(Z<-1)

P(-1<Z<1) = 0.841345 - 0.158655

P(-1<Z<1) = 0.682689

P(-1<Z<1) = 0.6827

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