A national virological survey identified that 65% of people in a particular city was infected with SARS-CoV2 virus. If 4 people are selected randomly from that city, calculate the probability of at least one person not be infected with SARS-CoV2 virus. If 5 people are selected randomly from that city, calculate the probability of at most 4 people being infected with SARS-CoV2 virus.

A national virological survey identified that 65% of people in a particular city was infected with SARS-CoV2 virus. If 4 people are selected randomly from that city, calculate the probability of at least one person not be infected with SARS-CoV2 virus. If 5 people are selected randomly from that city, calculate the probability of at most 4 people being infected with SARS-CoV2 virus.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A diagnostic test for disease X correctly identifies the disease 90% of the time. Flase positives occur 12%. It is estimated that 5.36% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. What is the percentage chance that given a negative result, the person does not have disease X? What is the percentage chance that, the person will be misclassified?
A pharmaceutical company receives a large shipment of aspirin tablets. The acceptance sampling plan is to randomly select and test 48, tablets then accept the whole batch if there is only one or none that doesn't meet the required specifications. If one shipment of 6000 tablets actually has a 3% rate of defects, what is the probability that this whole shipment will be accepted? Or almost all such shipments be accepted or will many be rejected?
There is a current chemotherapy drug available that is extremely successful in treating an aggressive form of breast cancer. This drug has as a serious side effect in that 20% of the recipients will subsequently go on to develop ALL, an often untreatable and fatal form of leukemia. The pharmaceutical company is developing a modified version of this drug and long term clinical trials are being conducted on 214 women afflicted with this aggressive form of breast cancer. The trials have indicated 31 subsequent cases of ALL. State and test the hypothesis that there is no difference in the proportion of ALL cases between the two chemotherapy drugs against the alternative that there is a difference. Set alpha equal to 0.02
Each year, more than 2 million people in the United States become infected with bacteria that are resistant to antibiotics. In particular, the Centers of Disease Control and Prevention have launched studies of drug-resistant gonorrhea.† Suppose that, of 189 cases tested in a certain state, 12 were found to be drug-resistant. Suppose also that, of 429 cases tested in another state, 8 were found to be drug-resistant. Do these data suggest a statistically significant difference between the proportions of drug-resistant cases in the two states? Use a 0.02 level of significance. (Let p1 = the population proportion of drug-resistant cases in the first state, and let p2 = the population proportion of drug resistant cases in the second state.) State the null and alternative hypotheses. (Enter != for ≠ as needed.) H0: ______ Ha: ______ Find the value of the test statistic. (Round your answer to two decimal places.) = What is the p-value? (Round your answer to four decimal places.) p-value =…
A researcher is creating a new treatment protocol for Myelodysplastic Syndrome (MDS), a form of preleukemia. Following the old treatment protocol, 28% of patients with MDS will develop leukemia within 5 years of MDS diagnosis. He believes his new treatment protocol will lead to fewer MDS patients developing leukemia. He takes a random sample of 100 individuals on his new treatment protocol. Of these 100 individuals, 20 develop leukemia within 5 years of MDS diagnosis. In questions 8-9, create a 98% confidence interval for the true proportion of all MDS patients on this new treatment who will develop leukemia within 5 years of MDS diagnosis. What is the confidence interval? Do not round your answer. What is the interpretation of your confidence interval?
A kissed frog has a 70% chance of turning into a prince, while a kissed toad has only a 20% chance of turning into a prince. If 16 frogs and 18 toads are kissed, what is the expected number of princes produced?
In a certain population, 11% of people are infected by a certainvirus. A virus detection test correctly detects 94% of cases in whichindividuals are infected, but mistakenly assigns 6% of positive resultsfor the uninfected (false positives). How likely is it that a person's testof this population give a positive result?
One common disease among pediatric patients is streptococcal pharyngitis (strep throat). If a pediatric patient comes in to the pediatricians feeling ill, there is a 26% chance that they have strep throat. A doctor sees 7 pediatric patients on a particular day (assume these patients are independent). Consider the random variable is a binomial random variable such that X = number of pediatric patients with strep throat. What is the expected number of pediatric patients with strep throat?
In a study of 213,270 cell phone users, it was found that 77 developed cancer of the brain or nervous system. Assuming that cell phones have no effect, there is a 0.000397 probability of a person developing cancer of the brain or nervous system. We therefore expect about 85 cases of such cancer in a group of 213,270 people. Estimate the probability of 77 or fewer cases of such cancer in a group of 213,270 people. What do these results suggest about media reports that cell phones cause cancer of the brain or nervous system? (a) P(x ≤ 77) = (Round to four decimal places as needed.)
Of a random sample of 100 college students, 35 expected to achieve a higher standard of living than their parents, 43 expected a lower standard of living, and 22 expected about the same standard of living as their parents. Do these data present strong evidence that, for the population of students, more expect a lower standard of living compared with their parents than expect a higher standard of living?