The probability that a person will remember between 100a% and 100b% of material learned in an experiment is 15 Pa,b X- 4 1 – x dx where x represents the proportion remembered. (See figure.) У 1.5 Pa,b 1.0 0.5 ++x 1.5 a'bo.5 1.0 (a) For a randomly chosen individual, what is the probability that he or she will recall between 50% and 75% of the material? (b) What is the median percent recall? That is, for what value of b is it true that the probability of recalling 0 to b is 0.5?
The probability that a person will remember between 100a% and 100b% of material learned in an experiment is 15 Pa,b X- 4 1 – x dx where x represents the proportion remembered. (See figure.) У 1.5 Pa,b 1.0 0.5 ++x 1.5 a'bo.5 1.0 (a) For a randomly chosen individual, what is the probability that he or she will recall between 50% and 75% of the material? (b) What is the median percent recall? That is, for what value of b is it true that the probability of recalling 0 to b is 0.5?
The probability that a person will remember between 100a% and 100b% of material learned in an experiment is 15 Pa,b X- 4 1 – x dx where x represents the proportion remembered. (See figure.) У 1.5 Pa,b 1.0 0.5 ++x 1.5 a'bo.5 1.0 (a) For a randomly chosen individual, what is the probability that he or she will recall between 50% and 75% of the material? (b) What is the median percent recall? That is, for what value of b is it true that the probability of recalling 0 to b is 0.5?
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Transcribed Image Text:The probability that a person will remember between 100a%
and 100b% of material learned in an experiment is
15
Pa,b
X-
4
1 – x dx
where x represents the proportion remembered. (See figure.)
У
1.5
Pa,b
1.0
0.5
++x
1.5
a'bo.5
1.0
(a) For a randomly chosen individual, what is the probability
that he or she will recall between 50% and 75% of the
material?
(b) What is the median percent recall? That is, for what value
of b is it true that the probability of recalling 0 to b is 0.5?
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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