Question

In: Statistics and Probability

After preliminary testing, it is determined that .01 of the residents of Selma have a certain...

After preliminary testing, it is determined that .01 of the residents of Selma have a certain virus. In Sangrian, a suburb of Selma (incidence of the virus is the same), the authorities test the 10,000 residents of the suburb. The test has the following characteristics. If you have the virus, the probability that the test is positive is .95, and if you don’t have the virus, the probability that the test is positive is .10. Suppose that 1,100 of the 10,000 residents test positive. Let X = the number among those 1,100 who really do have the virus.

Find E(X) and Variance(X). thank you :) !!

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

The developers of a new online game have determined from preliminary testing that the scores of...
The developers of a new online game have determined from preliminary testing that the scores of players on the first level of the game can be modelled satisfactorily by a Normal distribution with a mean of 185 points and a standard deviation of 28 points. They would like to vary the difficulty of the second level in this game, depending on the player’s score in the first level. (a) The developers have decided to provide different versions of the second...
The developers of a new online game have determined from preliminary testing that the scores of...
The developers of a new online game have determined from preliminary testing that the scores of players on the first level of the game can be modelled satisfactorily by a Normal distribution with a mean of 185 points and a standard deviation of 28 points. They would like to vary the difficulty of the second level in this game, depending on the player’s score in the first level. (a) The developers have decided to provide different versions of the second...
1. A researcher studying the lifespan of a certain species of bacteria. A preliminary sample of...
1. A researcher studying the lifespan of a certain species of bacteria. A preliminary sample of 35 bacteria reveals a sample mean of ¯ x = 64 x ¯ = 64 hours with a standard deviation of s = 5.6 s = 5.6 hours. He would like to estimate the mean lifespan for this species of bacteria to within a margin of error of 0.5 hours at a 98% level of confidence. What sample size should you gather to achieve...
Use the preliminary test to decide whether the following series are divergent or require further testing....
Use the preliminary test to decide whether the following series are divergent or require further testing. Sum (3+2i)^n/n!
A voter survey has determined that 15% of the residents of Barkhampsted County own an iPod....
A voter survey has determined that 15% of the residents of Barkhampsted County own an iPod. Furthermore, 85% of these iPod owners are under 30 years of age, whereas 15% are 30 or older. Only 30% of the people who don't own iPods are under 30 years of age. What percentage of the residents who are 30 or older own iPods? Or, equivalently, what is the conditional probability that a resident known to be 30 or more years of age...
In a study to estimate the proportion of residents in a certain city and its suburbs...
In a study to estimate the proportion of residents in a certain city and its suburbs who favor the construction of a nuclear power plant, it is found that 210 of 300 urban residents favor the construction while only 180 of 200 suburban residents are in favor. (a) Is there a significant difference between the proportion of urban and suburban residents who favor construction of the nuclear power plant? α=0.05. (b) Construct a 95% confidence interval for the difference of...
Statistics relating to a certain health condition, and the testing for it, are known to be:...
Statistics relating to a certain health condition, and the testing for it, are known to be: Healthy people get a false positive 10% of the time People with the condition get a false negative 10% of the time 5% of people actually have the condition. A random person is selected and given the test. Find: P(person has condition | test is positive) P(person has condition | test is negative) *** PLEASE EXPLAIN IN DETAILS
FV and PV of Annuities a) After carefully going over your budget, you have determined you...
FV and PV of Annuities a) After carefully going over your budget, you have determined you can afford to pay $632 per month toward a new sports car. You call up your local bank and find out that the going rate is 1 percent per month for 48 months. How much can you borrow? b) Suppose you begin saving for your retirement by depositing $2,000 per year in an IRA. If the interest rate is 7.5%, how much will you...
After examining these data for all the jurisdictions, someone notes that certain areas have an unusually...
After examining these data for all the jurisdictions, someone notes that certain areas have an unusually high “percent of 18-64 yr-olds with no high school diploma.” Based on this finding, this individual concludes that the high percentages are due to the rising population of immigrants in those areas. Further, the individual argues that any estimates of the associated “percent of low-income working families” in those areas should be recalculated after removing this sub-population from the data set, as they are...
After examining these data for all the jurisdictions, someone notes that certain areas have an unusually...
After examining these data for all the jurisdictions, someone notes that certain areas have an unusually high “percent of 18-64 yr-olds with no high school diploma.” Based on this finding, this individual concludes that the high percentages are due to the rising population of immigrants in those areas. Further, the individual argues that any estimates of the associated “percent of low-income working families” in those areas should be recalculated after removing this sub-population from the data set, as they are...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT