6. There are 6 red, 5 white, and 9 blue marbles in a small sack. If three marbles are selected at random without replacement, what is the probability exactly one is white? Round your answer to three decimal digits if necessary.

In a certain population the frequencies of alleles determining the ABO blood groups were estimated as 0.5 for IO , 0.3 for IA and 0.2 for IB. Assuming random mating, what is the expected frequency of blood type A individuals?

10. A psychologist suspects that poll results on sensitive issues are being affected by the gender of the pollster. The table below summarizes the results of whether male respondents agreed with the pollster, based on the pollster’s gender. Perform a hypothesis test to evaluate the claim that agreement is dependent on the pollster’s gender, then interpret your results. Your answer should include a test statistic, p-value, and conclusion about dependence. Use​​Gender ofPollster​​​MaleFemale​​Men who agree560​308​​Men who disagree240​92​

15. The 95% confidence interval for the mean length of frog jumps is (12.64, 14.44) cm. What does it mean that we have 95% confidence that the population mean is covered by the interval from 12.64 cm to 14.44 cm?

2. A given company has 1200 employees. Of these employees, 800 have a computer science degree and 600 have a mathematics degree. If 1000 employees have either a computer science degree or a mathematics degree, what is the probability a randomly selected employee has both a computer science degree and a mathematics degree? Round your answer to three decimal digits if necessary.

22. From the samples portrayed in the histograms below, in which would you expect to find a median that is greater than the mean? 2024-12-11 09_58_20-math1342_final.png

8. A polling firm released the results of a survey that indicated the 95% confidence interval for the approval rating of a local politician was from 62.6% to 65.2%. What is the margin of error for this confidence interval?

In a population under Hardy-Weinberg equilibrium, the frequency of the AA genotype is 0.25 and the frequency of the Aa genotype is 0.45. What is the frequency of matings between aa and aa genotypes?

21. The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they studied for the exam. Graph the equation of the regression line with the scatterplot for the given data and use it to select the correct interpretation.Hours, x​​35​2​8​2​4​4​5​6​3​​Scores, y​6580​60​88​66​78​85​90​90​71​

Formula Chart Final.pdf