Chapter 11.4, Problem 30E

(a)

To determine

The percent of the correct responses prior to any trials for each group if in a learning theory project, the rate of change in the percent P of correct responses after n trials can be modeled by,

$\frac{dP}{dn}=kP\left(1-P\right)$

The graph showing the particular solutions for the two different groups is as follows:

(b)

To determine

The limit of P for each group as n approaches infinity if in a learning theory project, the rate of change in the percent P of correct responses after n trials can be modeled by,

$\frac{dP}{dn}=kP\left(1-P\right)$

The graph showing the particular solutions for the two different groups is as follows:

(c)

To determine

The number of trials for $75\%$ correct response given by each group if in a learning theory project, the rate of change in the percent P of correct responses after n trials can be modeled by,

$\frac{dP}{dn}=kP\left(1-P\right)$

The graph showing the particular solutions for the two different groups is as follows: