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You will submit your full responses to these THREE questions…

You will submit your full responses to these THREE questions in the Exam 2 Submission Assignment. Your submission will be scored and points added to your exam score.  Remember that you must submit the file as a single .pdf file. Multiple files and/or pictures will not be accepted.  Problem 1 Medical researchers would like to make a new test for a certain genetic anomaly, and they want to make sure the test gives accurate results. In a lab study, it was known that 5% of the people had this gene. Of those people who have the gene, 90% of them tested positive. Of those people who do not have the gene, 20% of them tested positive. (a) Create a visual display of this situation. This can be a Tree Diagram, Two-Way Table, or Venn Diagram. You can create more than one, but only one will be scored. (b) What percent of the people in the study tested positive for this gene? Problem 2 The histogram shows the reviewer ratings on a scale from 1 (lowest) to 5 (highest) of a recently published book. Picture30.png  (a) Construct a probability distribution table. Category Probability (b) Find the mean and standard deviation for this probability distribution. Show the work that leads to your answer. Equations: μ = ∑ x · p σ = ∑ ( x – μ ) 2 · p Problem 3 About 25% of workers (ages 16 years and older) in the United States commute to their jobs by carpooling or taking public transportation. You randomly select eight workers. Let  be the number of people in the sample who carpool to work.  (a) Create a binomial probability distribution for this situation. A Binomial Table has been included for your reference.  x 0 1 2 3 4 5 6 7 8 P(x) (b) What is the probability that…  exactly 4 of them carpool to work? no more then 3 of them carpool to work? at least one of them carpools to work? (c) Find the expected number of the people in the sample who carpool to work and the associated standard deviation. Capture28(1).PNG  Picture31.png 

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