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Adrug supplied by a pharmaceutical company is administered to 3 patients, and the randor variable X represents the number of cures that occur: The probabilities are...

Question

Adrug supplied by a pharmaceutical company is administered to 3 patients, and the randor variable X represents the number of cures that occur: The probabilities are as follows : 0 cures, 1 cure; 2 cures,and 3 cures are found to be0.125,0.375,0.375,and 0.125 respectively: Find the mean: (1 decimal place)Answer:

Adrug supplied by a pharmaceutical company is administered to 3 patients, and the randor variable X represents the number of cures that occur: The probabilities are as follows : 0 cures, 1 cure; 2 cures,and 3 cures are found to be0.125,0.375,0.375,and 0.125 respectively: Find the mean: (1 decimal place) Answer:



Answers

Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the probability that 3 patients of this group, chosen at random, will remain disease-free.

On this problem, we need to refer back to exercise 13 On exercise 13. We were told that 70% of people believe that antidepressants only cover up the real problem that don't actually solve it. And so that means that we have a P value of .70. Now this problem we want to find the mean and the variance when seven people are selected at random. And so this means that are in value is seven. Now for a binomial distribution, we know that the expected value of X zero N Times P and we know that the variance of acts is equal to end times p Times 1 -2. Mhm. So here for our expected value, this would be the .70 times seven, which is 4.90 Ones are expected value This 4.90 And there are variances seven times 0.7 times 0.3. At that .3 just came from 1 -17 When we evaluate this has given us 1.47 and so are variants Is 1.47.

So here were given that the probability of success is 14 The mean is 80 and we want to find the number of trials and standard deviation. Now, these are the two equations you're you're going to be using for your standard deviation in your notes. It might have a que here instead of one minus p. That is the same pain for these problems are gonna be a lot easier if you just use one minus p instead of Q anyway. So let's take a look at this 1st 1 of mean, you know, the mean is 80 year, and we know the probability is 14 and we don't know end. So all we have to do is just multiply both sides by four, and we should get that n is equal to free 20. Now we can go to our standard deviation one. So standard deviation is equal to the square root of, and so 3 20 times the probability, which is 144 times one minus p or Q, which is free force because P and Q add upto wine, and this should give you 7.750 and we are done

1 60 We know that 3%. I don't make it into decibels right away. I have cancer. And nine, that makes 97%. That does not have cancer. So of the 3% 98 percent test positive and 2% yes, negative of the 97 that do not have cancer, 96% that thing you do and 4% test positive because thes branches have to add upto one. So now I take point over three times 0.98 which gives me 0.2 nine. Take my No. Three times 30.2 get point C rose around 06 White knight seven times 70.96 white, nine 312 and 0.97 times 0.4 0388 So now the question is asking the the probability a cancer given a positive test. So my formula is cancer and positive over that would be probability probability of positive. So my probability of cancer and positive 0.294 and my probability of positive would be by there tonight for plus with +03 88. And when I divide that l I get 24 3

Okay, so we're doing the drug test. We found that eight people recovered in the mortality rate. 0.6 of the republic Really rate is gonna be 0.4. So we're going to do the probability that at least eight recover on their own. At least eight recover state recover. And so then we're going to be adding up the probabilities at eight. Recover nine, recover in 10 recover. So have 10. Choose a times your point for to be Well, I hope so. Your point escapes squared, plus 10 cheers. Nine. You're looking forward to the nine 0.6, then 10 shoes. Wait or 20 10th the opening next to the zero. And so then that's going to give us zero point. Teoh 10617 was your 0.1 7 to 9 plus your 0.1049 That's gonna get us a probability of your 01 to to 94 Okay, if the party is just asking if it's effective, and it's saying that's effective if it's less than 0.5 which it is so yes, effective


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