Question

Going to be sending a pic

Answer 1

Part 1

Find the mean

mean=[0*0.63+1*0.235+2*0.088+3*0.026+4*0.013+5*0.08]/15

mean=[0.235+0.176+0.078+0.052+0.4]/15

mean=0.941/15

mean=0.1

Part 2

Find the variance

To find the variance of a discrete probability distribution, find each deviation from its expected value, square it, multiply it by its probability, and add the products.

so

0*(0.63-0.1)^2=0

0.235*(0.235-0.1)^2=0.004282875

0.088*(0.088-0.1)^2=0.000012672

0.026*(0.026-0.1)^2=0.000142376

0.013*(0.013-0.1)^2=0.000098397

0.08*(0.08-0.1)^2=0.000032

adds

variance=0.00456832

Part 3

find the standard deviation

To find the standard deviation σ of a probability distribution, simply take the square root of variance

so

`\text{standard deviation=}\sqrt[\square]{0.00456832}=0.0676`