To reduce laboratory costs, water samples from five public swimming pools are combined for one test for the presence of bacteria. Further testing is done only if the combined sample tests positive. Based on past results, there is a 0.004 probability of finding bacteria in a public swimming area. Find the probability that a combined sample from five public swimming areas will reveal the presence of bacteria. Is the probability low enough so that further testing of the individual samples is rarely necessary? The probability of a positive test result is (Round to three decimal places as needed.) C

Q: a new surgical procedure in preliminary trials has a probability of success of 80%. if 10 patients…

A: Let X denote the patients are scheduled to go through this procedure and it follows binomial…

Q: Due to a manufacturing error, four cans of regular soda were accidentally filled with diet soda and…

A: given data   4  - diet soda 8  - regular soda ________________________ 12 - total soda pack   select…

Q: A study showed that 64.5​% of occupants involved in a fatal car crash wore seat belts. Of those in…

A: Solution: Let A be the event that  occupants involved in a fatal car crash wore seat belts. P( A)=…

Q: The USDA reports that 31% of four-member households spend less than $100 per week on groceries.…

A: Given p=31%=0.31 n=600 Here, the sample size is large. Hence, we can use normal approximation.…

Q: The probability is 1% that an electrical connector that is kept dry fails during the warranty period…

A: Given: A probability of connector that fails while it is dry, P(FD)=0.01 A probability of connector…

Q: Bricks manufactured in a kiln are weighed every day to check them against the design weight. The…

A: Let us denote X=the number of bricks weighing less than the design weight n=sample size= 12…

Q: Suppose 5% of the population have a certain disease. A laboratory blood test gives a positive…

A: The probability of having a disease P(D)=0.05 The probability that the lab will give a positive…

Q: Suppose that 42% of people are on low calorie diet. If you pick three people at random, what is the…

A:

Q: in a box of pens and pencils, the probability of randomly choosing a sharpened pencil is 0.54 and…

A:

Q: The probability of having 3 boys out of 4 children is to be determined.  A simulation is conducted…

A: The provided information is as follows:The total number of children is .The experimental probability…

Q: Assume that among the general population, 13 people out of every 1000 have HIV/AIDS.  A…

A: It is given that 13 people (n1) out of every 1000 have AIDS (n) in a general population. While…