Quiz 6 GBUS 280 Business Statistics (2 points for each questions. Total 10 point
ID: 3053810 • Letter: Q
Question
Quiz 6 GBUS 280 Business Statistics (2 points for each questions. Total 10 points) 1. Suppose Z is following a normal distribution with a mean of zero and variance of 1 a PO 1.88). 2. Suppose Z is following a normal distribution with a mean of zero and variance of 1. P(Z2-45) 0.9265 b. 00735 c 0.6736 d. 0.5 3. Suppose X is following a normal distribution with a mean of 2 and a standard deviation of 1. Ther a. 0.99865 b. 0.8413 ?. 0.1587 d. 0.5 4. Suppose X is normal random variable and X N (2,1). Then PC1 s X 2) a. 0.3413 b. 0.3413 . 0.8413 d. 0.1359 5. Suppose X is normal random variable and X~N(2, 12). Is P(XExplanation / Answer
1)
mean = 0 , std.dev = 1
a)P(z < =1.88) = 0.9699 by using standard normal table
2)
P(z >= -1.45) = 0.9256 by using standard normal table
3)
mean = 2, std.dev = 1
P(x >=3)
z =(x -mean) / s
= (3 - 2)/1
= 1
P(x >=3) = P(z >1) = 0.1587 by using standard normal table
4)
P(1 <= x < =2)
= P((1 -2)/1 < z < ( 2 - 2)/1)
= P(-1 < z <0)
P(1 <= x < =2) = P(-1 < z <0) = 0.3413 by using standard normal table
5)
True because total probability is 1
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