Using the binomial distribution, it is found that the mean of X is of 12, with a standard deviation of 3.36.
For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly <u>x successes on n repeated trials, with p probability.</u>
The mean of the binomial distribution is:
The standard deviation of the binomial distribution is:
In this problem:
- Six percent of computer chips produced by Cheapo Chips are defective, hence
.
- Each month a random sample of 200 chips manufactured that month are taken, hence
![n = 200](https://tex.z-dn.net/?f=n%20%3D%20200)
Then:
![E(X) = np = 200(0.06) = 12](https://tex.z-dn.net/?f=E%28X%29%20%3D%20np%20%3D%20200%280.06%29%20%3D%2012)
![\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{200(0.06)(0.94)} = 3.36](https://tex.z-dn.net/?f=%5Csqrt%7BV%28X%29%7D%20%3D%20%5Csqrt%7Bnp%281%20-%20p%29%7D%20%3D%20%5Csqrt%7B200%280.06%29%280.94%29%7D%20%3D%203.36)
The mean of X is of 12, with a standard deviation of 3.36.
A similar problem is given at brainly.com/question/12473640
Slope = y2 - y1/x2 - x1
= -3 - (-1)/8 - (-2)
= -3 + 1/ 8 + 2
= -2/ 6
= - 1/3
hope this helps :)
Answer:
(3,1) ; (6,-2)
Step-by-step explanation:
We have to search the points that the line and the parabola have in common, that are the points where they intercept
(3,1) ; (6,-2)