Peluang Disribusi Normal

Question

4.	Diketahui X berdistribusi normal dengan rata-rata 1.000 dan standar deviasi 100, hitunglah;
a)	X = 1.500
b)	X = 2.000
c)	X = 1.100

rahmayetty · Answer

Diketahui $\mu = 1000$,  dan $\sigma=100$
 $$\begin{aligned}Z&=\frac{X-\mu}{\sigma }\end{aligned}$$

a. $X=1500)$

$$\begin{aligned}Z&=\frac{1500-1000}{100}\&=5\end{aligned}$$

b.$X=2000$
$$\begin{aligned}Z&=\frac{2000-1000}{100}\&=10\end{aligned}$$

c.$X=1100$
$$\begin{aligned}Z&=\frac{1100-1000}{100}\&=1\end{aligned}$$