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10.11. QUESTION 10 1430 High School students put in their applications for their programs of choice. 201 students applied to a health program, 450 applied

10.11.

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QUESTION 10 1430 High School students put in their applications for their programs of choice. 201 students applied to a health program, 450 applied to a technology program, 220 applied to a business program. It has been reported that 100 students applied to a health program and to a business program. It has also been reported that 80 students applied to a health program and to a technology program. Use Venn Diagrams to solve the following problems. a). What is the probability of picking at random a student who applied to a health program given that they also applied to a technology program? Convert to percent, then round to 2 significant figures. DO NOT INPUT THE '%%' SYMBOL. b). What is the probability of picking at random a student who applied to a technology program or to a health program? Convert to percent, then round to the one (whole number). DO NOT INPUT THE '%' SYMBOL. QUESTION 11 Calculate the probabilities based on the following table: Positive Result Negative Result Total Virus Present 2569 305 Virus Not Present 478 3001 Total a). What is the probability of having a false-positive? Convert to percent, then round to 2 significant figures. DO NOT INPUT THE '' SYMBOL. b). What is the probability of having a false-negative? Convert to percent, then round to 2 significant figures. DO NOT INPUT THE '%' SYMBOL. c). What is the probability of a negative result or a virus not present? Convert to percent, then round to the one (whole number). DO NOT INPUT THE '' SYMBOL

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