Given a random variable X follows a Normal distribution with mean 10 and standard deviation 5, what is the probability that X li

Question

3 years ago

13

es within one standard deviation of the mean?
a) 0.4722
b) 0.9005
c) 0.6827
d) 0.9545

1 answer:

Ilya [14] · Answer 1 · 2022-09-23T05:45:08+03:00

Ilya [14]3 years ago

7 0

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