Answer:
The 99% confidence interval is
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The sample mean is 
The population standard deviation is
From the question we are told the confidence level is 99% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of
is
Generally the margin of error is mathematically represented as

=>
Generally 95% confidence interval is mathematically represented as
=>
=>
The second dot with says x+y=360 y=8x
Answer:
The probability that a part is good given that it passed the inspection machine is P=0.978.
Step-by-step explanation:
As the inspection machine detect and discard any part that is completely defective, only the good and partially defective parts passed this inspection.
Then, if we have:
Probability of being a good part P(G)=0.90
Probability of being a patially defective part P(P)=0.02
Probability of being a completely defective part P(D)=0.08.
Probability of passing the inspection machine = 1-P(D)=1-0.08=0.92
Then, the probability of having a good part, given that it passed the inspection machine is:

If the sample is random, it is not valid.
Easy multiply the first number and do keep change flip