Question

In: Statistics and Probability

In a large population, 70% of the people have been vaccinated. If 6 people are random...

In a large population, 70% of the people have been vaccinated. If 6 people are random selected what is the probability that at least 3 adults are NOT vaccinated?

Solutions

Expert Solution

Answer is 0.2558. Detailed solution is given in the images below

This answers your question. If you understood, please rate positively.


Related Solutions

Suppose that 52% of the people have been vaccinated. If 25 people are randomly selected, answer...
Suppose that 52% of the people have been vaccinated. If 25 people are randomly selected, answer the following questions. (a) [1] What is the probability that exactly 12 of them have been vaccinated? (b) [2] What is the probability that at least 10 of them have been vaccinated? (c) [2] Determine the probability that between 11 and 15 (including 11 and 15) of them have been vaccinated. (d) [2] What is the expected number of of them have been vaccinated...
A community wishes to investigate the proportion of their population that has been vaccinated against measles....
A community wishes to investigate the proportion of their population that has been vaccinated against measles. In particular, they are interested in whether this proportion is less than 90%, the minimum required to achieve herd immunity. They randomly select 300 individuals from the community and question them regarding their vaccination status. Of these individuals, 259 had been vaccinated. They choose a significance level of 5%. a. What are the null and alternative hypotheses? b. (1 mark) What is the value...
A small population of horse-like animals have been removed from a large population of the same...
A small population of horse-like animals have been removed from a large population of the same creatures and moved to a small island many miles away. The environment of this island is slightly different from the mainland: temperatures are cooler, and the only food source is a fruit that turns bright red when ripe and is located higher up in the trees. The island is only a few square kilometers, and there are no natural enemies. After many generations, you...
In one population, it is found that 6% of all people have high blood pressure and...
In one population, it is found that 6% of all people have high blood pressure and 40% are overweight. Four percent suffer from both con- ditions. What is the probability that a randomly selected person from this population will have high blood pressure given that he is not over- weight? Please explain :)
A researcher wishes to test the effectiveness of flu vaccination. 150 people are vaccinated, 180 people...
A researcher wishes to test the effectiveness of flu vaccination. 150 people are vaccinated, 180 people are vaccinated with a placebo, and 100 people are not vaccinated. The number in each group who later caught the flu was recorded. The results are shown below. Vaccinated Placebo control Caught the flu 8 19 21 Vaccinated Placebo 142 161 79 Use a 0.05 significance level to test the claim that the proportion of people catching the fly is the same in all...
16. The true proportion of people vaccinated against An uanza is known to be 62%. If...
16. The true proportion of people vaccinated against An uanza is known to be 62%. If a sample of 45 individuals is selected. Find the probability that the sample proportion ^p is (a) within 0.03 of the true proportion. (b) less than the true proportion by 0.02 or more.
The true proportion of people vaccinated against Anfluanza is known to be 62%. If a sample...
The true proportion of people vaccinated against Anfluanza is known to be 62%. If a sample of 45 individuals is selected. Find the probability that the sample proportion ^p is (a) within 0.03 of the true proportion. (b) less than the true proportion by 0.02 or more.
In a certain area of New York State with a large population, 70% of drivers use...
In a certain area of New York State with a large population, 70% of drivers use chains on the car tires for winter driving. A random sample of 16 drivers is taken. You are interested in the number of drivers in the sample that use chains while driving. a. Find the probability that at least 11 drivers in the sample use chains. b. Find the probability that at most 11 drivers in the sample use chains. c. Find the probability...
100 people are tested for disease. 30 people have the disease and 70 do not. There...
100 people are tested for disease. 30 people have the disease and 70 do not. There were 20 true positives and 37 true negatives. Part 1: What was the sensitivity of the test? Be sure to give context. Part 2: What was the specificity of the test? Be sure to give context. Part 3: What was the positive predictive value of the test? Be sure to give context. Part 4: What was the accuracy of the test? Be sure to...
A simple random sample of 70 items resulted in a sample mean of 60. The population...
A simple random sample of 70 items resulted in a sample mean of 60. The population standard deviation is σ = 15. (a) Compute the 95% confidence interval for the population mean. (Round your answers to two decimal places.) _________ to _________ (b) Assume that the same sample mean was obtained from a sample of 140 items. Provide a 95% confidence interval for the population mean. (Round your answers to two decimal places.) _________ to _________ (c) What is the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT