Posted by nick on Thursday, August 9, 2012 at 1:52am.
Q) 75% of the population in Guinea, Africa is infected with malaria. Suppose
a physician sees 6 patients in a given hour. Assuming these conditions are met, find the mean and standard deviation of the distribution.
Help please!

statistics  MathMate, Thursday, August 9, 2012 at 7:37am
Conditions:
1. probability remains constant throughout (i.e. for every one of the six patients.
2. the outcome is of type Bernoulli, i.e. yes/no, 1/0, etc. In this case, infected or not.
3. The number of patients is constant at 6 per hour.
4. Sampling can be assumed to be random and independent.
These conditions qualify the distribution as binomial, with parameters n=6, p=0.75 (probability of infection), and q=1p=0.25 (probability of noninfection.
Can you find the mean and standard deviation (or variance) in terms of n, p and q?

statistics  nick, Friday, August 10, 2012 at 12:06am
would i therefore need to be doing
sigma = square root of [np (1p)]?

statistics  nick, Friday, August 10, 2012 at 12:17am
oh nevermind, i get what you are saying :)
would you recommend that i do two different groups of mean and variance,
one group is for having malaria,
the other for not?

statistics  MathMate, Friday, August 10, 2012 at 10:29pm
I do not recommend doing the same thing both ways because this could cause confusion and consequent errors.
I suggest you document clearly. For example,
p=0.75=proportion of population infected
n=sample size (6 patients per hour)
so
np=mean (expected value) of number of infected patients out of 6.
√(npq)=s.d. of mean.
Answer This Question
Related Questions
 Math (Statistic)  Considered the sampling distribution of a sample mean ...
 statistics  Suppose a population distribution of SAT scores has population mean...
 statistics  How do we compute sample size fluctuations? Suppose we have a ...
 Statistics  The following is a histogram (right skewed) of the first ten terms ...
 Statistics  Suppose that a sample of size 60 is drawn from a population with ...
 statistics  A sample of 25 men has a mean weight of 65kg with standard ...
 statistics  Ina study designed to test the effectiveness magnets for treating ...
 statistics  Given a distribution with mean X and standard deviation S, answer ...
 Math/Statistics  STATISTICS PLEASE HELP!!!!! I am sorry this is jy second time ...
 statistics  For an IQ test, we know the population mean = 100 and the standard ...
More Related Questions