Question

Please help meand show me step by step​

Answer 1

Answer:

6. mean = 1.4

7. variance = 1.64

standard deviation = √1.64

Step-by-step explanation:

6.  

$\textsf{mean }\mu=\[ \sum [x \cdot p(x)]$

⇒ $\mu$ = 0 x 0.4 + 1 x 0.1 + 2 x 0.2 + 3 x 0.3 = 1.4

7. see attached for completed table

$\textsf{variance }\sigma^2=\[ \sum [(x -\mu)^2 \cdot p(x)]$

Therefore, variance is the total of the last column:

$\sigma^2$ = 0.784 + 0.016 + 0.072 + 0.768 = 1.64

standard deviation is the square root of variance:

$\sigma=\sqrt{1.64}$