Question

Assume that eighteen samples are drawn from Lake Ontario. Each sample of water has a 10%...

Assume that eighteen samples are drawn from Lake Ontario. Each sample of water has a 10% chance of containing a particular pollutant. Assume that the samples are independent with regard to the presence of pollutant.

(a) What is the probability that exactly two do not contain the pollutant?

Homework Answers

Answer #1

TOPIC:Binomial distribution.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
An environmental engineer working for the EPA is tasked with observing water specimens from lakes in...
An environmental engineer working for the EPA is tasked with observing water specimens from lakes in northeast Georgia. In this region, each water specimen has a 10 percent chance of containing a particular organic pollutant. (a) Treating each water specimen as a “trial,” suppose the three Bernoulli trial assumptions hold. State what this would imply (i.e., just give the assumptions for this situation). (b) Let Y denote the number of specimens that contain the pollutant out of the next 15...
10. An 8000 m3 lake has a pH of 4. For this problem, assume no water...
10. An 8000 m3 lake has a pH of 4. For this problem, assume no water is added or withdrawn from the lake.                 a. What is the molarity of H+ in the lake?                 b. How many moles of OH- would be needed to raise the pH of the lake to 6?                 c. One method for neutralizing acids in surface water is to add lime (CaCO3). Write a balanced equation for the                 neutralization of H+ with limestone....
Take 2 samples from the same population where each sample has 10 observations. (IT IS A...
Take 2 samples from the same population where each sample has 10 observations. (IT IS A F DISTRIBUTION QUESTION) a) What is the probability that one sample variance is at least 2 times larger than the other sample's variance? b)What is the probability that one sample variance is at least 4 times larger than the other one? PLEASE EXPLAIN YOUR STEPS TO BE MORE CLEAR (Please do the calculation step by step and if you explain each step it would...
Suppose samples of size 100 are drawn randomly from a population that has a mean of...
Suppose samples of size 100 are drawn randomly from a population that has a mean of 20 and a standard deviation of 5. What is the probability of observing a sample mean equal to or greater than 20.5? 0.1587 0.4192 0.9192 0.1634 0.8384
Choose a quantitative variable. Measure it on two different samples of 10, drawn from two different...
Choose a quantitative variable. Measure it on two different samples of 10, drawn from two different populations. For example, you might measure the number of cups of chocolate consumed daily by men vs women. Provide a description of the data selected, and the two different populations you chose. Record the data, and for EACH sample, find the mean and standard deviation and the five-number summary. Compare your two samples using boxplots or histograms. Summarize your results in a paragraph, including...
A small town gets its water supply from three nearby lakes, A, B, and C. Sometimes...
A small town gets its water supply from three nearby lakes, A, B, and C. Sometimes in the late summer the water level in a lake falls below a certain critical level. When this occurs, there is a risk that the water from that lake will become polluted with E-Coli. If the water supply to the town becomes polluted, the residents are advised to boil their water. If only the water level at lake A falls below the critical level,...
(A) Two random samples were drawn from members of the U.S. Congress. One sample was taken...
(A) Two random samples were drawn from members of the U.S. Congress. One sample was taken from members who are Democrats and the other from members who are Republicans. For each sample, the number of dollars spent on federal projects in each congressperson's home district was recorded. Dollars Spent on Federal Projects in Home Districts Party Less than 5 Billion 5 to 10 Billion More than 10 billion Row Total Democratic 10 15 20 45 Republican 15 20 12 47...
Assume we have a box with 10 chips, each with a number written on it from...
Assume we have a box with 10 chips, each with a number written on it from 1-10. We reach in, pull out a chip, look at the number and write it down, then put the chip back. We do this 2 times. We describe this as N = 2 for the sample size. Then we take the mean of the two numbers we recorded. We repeat this 5000 times, each time drawing a random sample of 2, with replacement (i.e.,...
Water samples are taken from water used for cooling as it is being discharged from a...
Water samples are taken from water used for cooling as it is being discharged from a power plant into a river. It has been determined that as long as the mean temperature of the discharged water is at most 150 degrees Fahrenheit, there will be no negative effects on the river ecosystem. To investigate whether the power plant is in compliance with regulations that prohibit a mean discharge water temperature above 150 degrees, a scientist will take 50 water samples...
This problem is to be done in R. Maria claims that she has drawn a random...
This problem is to be done in R. Maria claims that she has drawn a random sample of size 30 from an Exp(10) distribution (λ = 10, rate = 0.1). The mean of her sample is 12. (a) What is the expected value of a sample mean? (b) Run a simulation by drawing 1000 random samples, each of size 30, from an Exp(10) distribution, and compute the means for each sample. What proportion of the sample means are ≥ 12?...