<span> rounding to the nearest cent " means rounding to the nearest hundredth....so the answer is 329.18 </span>
Answer: Mean = 2.91 and Variance = 0.087
Step-by-step explanation:
Given : The probability of a correct classification of any part p= 0.97.
The number of parts are inspected : n=3
Let the random variable X denote the number of parts that are correctly classified.
For binomial experiment , the mean and variance is given by :-

Then, the the mean and variance of X will be :-
![\mu=3(0.97)=2.91\\\\\sigma^2=np(1-p)=3(0.97)(0.03)=0.0873\approx0.087\ \ [ \text{Rounded to three decimal places}]](https://tex.z-dn.net/?f=%5Cmu%3D3%280.97%29%3D2.91%5C%5C%5C%5C%5Csigma%5E2%3Dnp%281-p%29%3D3%280.97%29%280.03%29%3D0.0873%5Capprox0.087%5C%20%5C%20%5B%20%5Ctext%7BRounded%20to%20three%20decimal%20places%7D%5D)
The answer is 3x+2 over (x+2) (x-2)