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and article from the San Jose Mercury news was concerned with the racial mix of

ID: 3321802 • Letter: A

Question

and article from the San Jose Mercury news was concerned with the racial mix of the 1500 student d. all employed women with child ing information to answer the next two exercises: The next two questions refer to the following: An article sThe San Jose Mercury News was concerned with the racial mix of the 1500 students at Prospect High from A The table summarizes the results. (Male and female values are approximate.) Suppose one Prospect hi school student is randomly selected. GenderlEthnic group White Asian Hispanic Black American Indian Male 400 468 115 440 132 140 35 16 Female 40 14 Table A2 12. Find the probability that a student is Asian or Male 13. Find the probability that a student is Black given that the student is female. 14. A sample of pounds lost, in a certain month, by individual members of a weight reducing clinic produced the foll statistics: Mean 5 lbs. Median = 4.5 lbs. Mode = 4 lbs. Standard deviation 3.8 lbs. * First quartile = 2 lbs. Third quartile 8.5 lbs. The correct statement is: a. One fourth of the members lost exactly two pounds b. The middle fifty percent of the members lost from two to 8.5 Ibs. C. Most people lost 3.5 to 4.5 lbs d. All of the choices above are correct 15. What does it mean when a data set has a standard deviation equal to zero? a. All values of the data appear with the same frequency b. The mean of the data is also zero. C. All of the data have the same value. d. There are no data to begin with.

Explanation / Answer

12) Probability that the student is Asian or male

= (400 + 468 + 115 + 35 + 16 + 132 ) / 1800

= 1166/ 1800

= 0.6478

Therefore 0.6478 is the required probability here.

13) Given that a student is female probability that she is black is computed using bayes theorem as:

P( female and black ) / P( female )

= ( 40 ) / ( 440 + 132 + 140 + 40 + 14 )

= 40 / 766

= 0.0522

Therefore 0.0522 is the required probability here.