Question

i was able to figure out 25, but having trouble with 24 and 26.

Solve the problem. 24) An experiment was conducted by having a group of children solve a puzzle. It was found that of those who had solved the puzzle on a given trial, 40% could solve it on the next trial. And of those who couldn't solve the puzzle on a given trial, 10% could solve it on the next trail. At the present time, 80% of the children solved the puzzle on the current trial, but 20% did not. Assume that this process can be modeled as a Markov process. (a) Write the transition matrix. Label the columns and rows, using S for "able to solve" and NS for "not able to solve." (b) What percent of the children will be able to solve the puzzle on the next trial? (c) After many trials, what proportion of the children will fail to solve the puzzle on each trial? For the given absorbing stochastic matrix, determine the absorbing and nonabsorbing states. 25) I II III IV V 1 (1 0.3 00 0.81 II O 0.2 0 0.2 0.1 III 0 0 1 0.4 0.1 IV O 0.4 0 0.1 0 VO 0.1 0 0.3 0 For the given absorbing stochastic matrix, compute the stable matrix. 26) 11 0.2 0 0 0.3 0.7 LO 0.5 0.3

Answer 1

Answers 40% Could solve on next trail and who could not solve on neut kail: 10% a). let us take to solve able to solve. s Able N > Not then, matrix S will be is 10.40 buo 10.10 2 0.901 " 16 The percent of childern will be able to solve puzzle on the next trail can be Calculated as below.

P => P[s/s) + P(SIN) : 0.8 x0.4 + 0.2x0.1 0.32 +0.02 - 0.34 = 341 So - Percent of the next trail is who able to solve on childern 34% e) After many trails. it mean . it will repetative. Some people solve it, let us as x and it can be calculated as So, P = P(Sis) + P (SIN) x = $10.45+ (1-x)8013 lox - 4x+1-*

P => P[s/s) + P(SIN) : 0.8 x0.4 + 0.2x0.1 0.32 +0.02 - 0.34 = 341 So - Percent of the next trail is who able to solve on childern 34% e) After many trails. it mean . it will repetative. Some people solve it, let us as x and it can be calculated as So, P = P(Sis) + P (SIN) x = $10.45+ (1-x)8013 lox - 4x+1-*

10x = 34+1 10 x - 3x = 1 7x=1 LT we can say the proposition to solve puzzle that of the childern will on Each trail is. fail 1-X= 47 0.8571 . As our HomeworkLib policy i can answer one question ;