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One of the most common forms of colorblindness is a sex-linked hereditary condition caused by a defect on the X chromosome (one of the two chromosomes that determine gender). It is known that colorblindness is much more prevalent in males than in females. Suppose that 6% of males are colorblind but only 0.75% of females are colorblind. In a certain population, 45% are male and 55% are female. A person is randomly selected from this population.
(a) Find the probability that the person is colorblind.
(b) Find the probability that the person is colorblind given that the person is a male.
A well-known Sunday newspaper contains a questionnaire seeking the opinions of its readers concerning an important question on whether shops should be open until midnight seven nights a week.
A research company stated that 20% of missed school days are due to asthma. If a group of 400 school children are selected at random, what is the probability that fewer than 70 will miss school because of asthma?
1. suppose that from the past experience a professor knows that the test score of a student taking his final
What linear transformation will change sixth grade scores x into new scores xnew= a+bx that have the desired mean and standard deviation?
Explain clearly why the matched pairs t test is the proper choice and do a complete analysis for the question that is posed here.
Employee salaries. A group of high-technology companies agreed to share employee salary information in an effort to establish salary ranges for technical positions in research and development.
Based on the expected return, would you rather invest your money in the stock market or in gold? Why?
Use Chebyshev's theorem to find what percent of the values will fall between 162 and 292 for a data set with a mean of 227 and standard deviation of 13.
What is the probability that a randomly chosen employee is an Administrator if the employee has the opportunity of gaining promotion next year?
In the general population, one woman in ten will develop breast cancer. Research has shown that 1 woman in 600 carries a mutation of the BRCA gene. Seven out of 10 women with this mutation develop breast cancer.
Calculate for each of the first three states the annual premium and the reserve at time t. Write down the Thiele differential equations. Verify that your answers to (a) satisfy the equations in (b).
With 95% confidence, what is the margin of error (to 2 decimals)? What is the 95% confidence interval estimate of the population mean?
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