Psychologists have developed mathematical models to predict memory performance as a function of the number of trials n of a certain task. Consider the learning curve P = 0.5 + 0.9 ( n − 1 ) 1 + 0.9 ( n − 1 ) , n > 0 where p is the fraction of correct responses after n trials. (a) Complete the table for this model. What does it suggest? (b) According to the model, what is the limiting percent of correct responses as n increases?
Psychologists have developed mathematical models to predict memory performance as a function of the number of trials n of a certain task. Consider the learning curve P = 0.5 + 0.9 ( n − 1 ) 1 + 0.9 ( n − 1 ) , n > 0 where p is the fraction of correct responses after n trials. (a) Complete the table for this model. What does it suggest? (b) According to the model, what is the limiting percent of correct responses as n increases?
Solution Summary: The author explains that P is the tion of correct responses after n trials.
Psychologists have developed mathematical models to predict memory performance as a function of the number of trials
n
of a certain task. Consider the learning curve
P
=
0.5
+
0.9
(
n
−
1
)
1
+
0.9
(
n
−
1
)
,
n
>
0
where
p
is the fraction of correct responses after
n
trials.
(a) Complete the table for this model. What does it suggest?
(b) According to the model, what is the limiting percent of correct responses as
n
increases?
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