NO.PZ2020010303000009
问题如下:
Either using a Z table or the Excel function NORM.S.DIST, compute
a. Pr(-1.5 < Z < 0), where Z ∼ N(0, 1)
b. Pr(Z < -1.5), where Z ∼ N(0, 1)
c. Pr(-1.5 < X < 0), where X ∼ N(1, 2)
d. Pr(X > 2), where X ∼ N(1, 2)
e. Pr(W > 12), where W ∼ N(3, 9)
选项:
解释:
a. 43.3%. In Excel, the command to compute this value is NORM.S.DIST(0,TRUE) – NORM.S.DIST(-1.5,TRUE).
b. 6.7%. In Excel, the command to compute this value is NORM.S.DIST(-1.5,TRUE).
c. 20.1%. In Excel, the command to compute this value is NORM.S.DIST((0 – 1)/SQRT(2),TRUE) – NORM.S.DIST((-1.5-1)/SQRT(2),TRUE).
d. 24.0%. In Excel, the command to compute this value is 1 – NORM.S.DIST((2 – 1)/SQRT(2),TRUE).
e. 0.13%. In Excel, the command to compute this value is 1 – NORM.S.DIST((12 – 3)/3,TRUE).
这道题除了有超出给定表的数据,还有无法精准得出的,比如1.5,在表单中只有接近1.5的数据,这种情况怎么计算?