Answer:
The standard deviation for the number of defective parts in the sample is 1.88.
Step-by-step explanation:
The sample is with replacement, which means that the trials are independent, and thus, the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
68 defective out of 400:
This means that ![p = \frac{68}{400} = 0.17](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7B68%7D%7B400%7D%20%3D%200.17)
From the shipment you take a random sample of 25.
This means that ![n = 25](https://tex.z-dn.net/?f=n%20%3D%2025)
Standard deviation for the number of defective parts in the sample:
![\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{25*0.17*0.83} = 1.88](https://tex.z-dn.net/?f=%5Csqrt%7BV%28X%29%7D%20%3D%20%5Csqrt%7Bnp%281-p%29%7D%20%3D%20%5Csqrt%7B25%2A0.17%2A0.83%7D%20%3D%201.88)
The standard deviation for the number of defective parts in the sample is 1.88.
Answer
i know right
Step-by-step explanation:
Answer:
n=
25/
p
n=
75
/q
Step-by-step explanation:
source:trust me bro
False. One half of a number y is more than 22