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Suppose That the Probability That a Person Will Remember Between 100a% and 100b%100 a \% \text { and } 100 b \%

Question 103

Multiple Choice

Suppose that the probability that a person will remember between 100a% and 100b%100 a \% \text { and } 100 b \% of material learned in an experiment is Pa,b=ab154x1xdxP _ { a , b } = \int _ { a } ^ { b } \frac { 15 } { 4 } x \sqrt { 1 - x } d x where xx represents the proportion
remembered. Determine from the figure below, the probability that a randomly chosen individual will recall between 50%50 \% and 75%75 \% of the material? Express your answer as a percent rounded to three decimal places.
 Suppose that the probability that a person will remember between  100 a \% \text { and } 100 b \%  of material learned in an experiment is  P _ { a , b } = \int _ { a } ^ { b } \frac { 15 } { 4 } x \sqrt { 1 - x } d x  where  x  represents the proportion remembered. Determine from the figure below, the probability that a randomly chosen individual will recall between  50 \%  and  75 \%  of the material? Express your answer as a percent rounded to three decimal places.    A)   19.900 \%  B)   12.500 \%  C)   11.000 \%  D)   35.300 \%  E)   106.600 \%


A) 19.900%19.900 \%
B) 12.500%12.500 \%
C) 11.000%11.000 \%
D) 35.300%35.300 \%
E) 106.600%106.600 \%

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