Question

Question 5 1 pts Let X be normally distributed with meanu = 2.0 and 0 =0.5. Find the following probabilities by converting X into a standard normal random variable. 1. P(X < 3.0) [Select) 2.PIX < 1.75) [Select] 3.P(1.75 < X < 3.0) (Select)

Answer 1

Q5	Ans	Excel Formula
1	0.9772	=NORM.DIST(3,2,0.5,TRUE)
2	0.3085	=NORM.DIST(1.75,2,0.5,TRUE)
3	0.6687	=NORM.DIST(3,2,0.5,TRUE)-NORM.DIST(1.75,2,0.5,TRUE)

Q6.

34% 34% 2.35% 2.35% 0.15% 13.5% 13.5% 0.15% μ-3σμ-2σ μσ μ μεσ μ+2σ μ+3σ

Here mu=15 and sigma =3

P(15<X<18)=P(mu<X<mu+sigma) = 34%

Ans: 34.13%