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For Exercises 1 to $4,$ identify the population, the parameter, the sample, and the statistic in each setting.
Stop smoking! A random sample of 1000 people who signed a card saying they intended to quit smoking were contacted nine months later. It turned out that 210$(21 \%)$ of the sampled individuals had not
smoked over the past six months.

Now in this question, I want to find out the probability. The probability that a subject tested negative or used marijuana subject tested. Negative. It is 1 57 1 57 by 300 all they used marijuana or means addition. They use marijuana. How many of them are actually used? Marijuana? It is 119 plus 3 +119 plus threes. What? 1 22 1 22 by 300. But is there an intersection? Yes, This three is the intersection. So I'll also have to minus. This is going to be minus three by 300 minus three by 300. And this turns out to be 1 57 plus 1 20 to minus three is 2. 76 by 300 to 76 by 300. And this value turns out to be 0.92 to be 0.92 This is my answer.

Now the probability of getting the test right would simply be the sum of these two columns divided by our total of 300. But what we can notice is that these two events are compliments of each other, either something is positive or negative, the test returns a positive or negative result. And if we're not negative then we got to be positive. And when we found out that we have a 91% or 9% chance of being wrong, That implies that we have a 91% chance of being right with our test. So this is simply an application of the compliment rule where one is equal to the probability of a happening plus the probability of a not happening.

This question now you just It says if one off the test subjects is randomly selected, find the probability that the subject did not use marijuana. Find the probability of the subject that he did not use marijuana. These are the total subjects who did not actually use marijuana. These are truly negative. These are the ones who are negative and who have also tested negative. But these are the ones who are negative but who have falsely been tested positive. So 24 plus 1 54 is 1 78 1 78 by 300. This is the probability that we want. And do we think the result affect the general population rate off subjects who do not use marijuana? I think the result is somewhat low for people who do not use marijuana. By the way, this value turns out to be 0.59 something zero point Faith Night. And this is my answer

All right, we're talking about, uh, cups getting dispersed, uh, cups getting filled with, um, soft drinks or coffee and a machine. And so on average, it's gonna fill automatically 7.6 ounces. But then there's a standard deviation of 0.4. So that means we need to add 0.4 to go get one standard deviation, which is eight plus another 80.4 is 8.4, plus another would be 8.8 ounces. Then we subtract to go get below the standard deviations of 7.2, 6.8 and then 6.4 ounces. Okay, So the question the first question is, what is the probability of an overflow of eight ounces? So that means probability of it being greater than eight ounces. So that's going in this direction. So that's gonna represent 13.5% plus 2.35% plus 0.15 So that's gonna be approximately 16% or 160.16 question B is asking what would be of it not overflowing. So the probability of it being less than eight would be one minus the 16% that we just gotten party. So that's gonna be 84% approximately. And then Part C is asking. The machine has been loaded with 850 caps. How many of these do you expect will overflow? So if 16% overflow approximately, that's 1.16 of 8 50 meeting we're gonna multiply, and that would be approximately 136 cups.