Thursday

July 24, 2014

July 24, 2014

Posted by **Lindz** on Saturday, October 14, 2006 at 7:45pm.

a) If 10 animals are treated with the drug, what is the expected value and

standard deviation of the number of rats that will die from the drug before

the experiment is over.

b) If 10 animals are treated with the drug, what is the probability that at

least 8 will die from the drug before the experiment is over.

c) Suppose that there is an alternative drug that can be used and that about 1 out 1000 rats die from this drug before the experiment is over. If 1500 animals are treated with this drug, what is the probability that less than 4 rats will die from this drug before the experiment is over.

d) Consider experiments with drug from part c), what is the expected number of experiments required to observe the first experiment with a rat that

dies due to the use of the drug before the experiment is over?

If 4 outof 20 die, then the probability of a rat dying (using this relative frequency) is p = 4/20 = .2

Part a) is a binomial distribution. The expected number that would die is

mu = np where n is the number of events, which is 10 here. The variance is given by s

For b) the probability

p(X=k)= n choose k * p

Calculate that for k=8,9,10 and add those together.

Part c) is similar except now p=.001 and you'll need to recalculat the variance. To find the prob p(X<4) you need to find p(X=0,1,2,3) and add them together.

For d) since p = 1/1000 then 1/p is the expected number of observations before a death is observed.

Be sure to check you text on this. These problems pertain to the binomial distribution which is a fairly important one is prob/stats.

I hope this helps.

**Related Questions**

Biostatistics - Test the potency of a drug on 20 rats. Previous animal show that...

Psychology - What is the independent and dependent variable in this scenario: A ...

biology - Can someone help? I don't understand gene regulation. The regulation ...

Statistics - True or False Question. I need help please. A sientific paper ...

Statistics - A research article reports the results of a drug test. This ...

biology - Which list shows the correct order of locations and steps in protein ...

biology test - study guide last one purpose of 3 types of RNA My answer 1. rRNA...

Pharmacology - This is super confusing, I'm sorry! The homework: You have to ...

math - solve the problem A drug is injected into a patient and the concentration...

Psychology - A scientist studied whether climate affected growth in rats. All ...