Q⁵ Hamsters at a pet shop can either be Healthy (State 0), Injured (State 1), or Dead (State 2). Hamsterscan transition both ways between State 0 and State 1 , but cannot move out of State 2 once in thatstate. You are given the following constant forces of transition:(i) µ01 = 0.03(ii) µ10 = 0.08(iii) µ02 = 0.01(iv) µ12 = 0.09Calculate the probability that an injured hamster on Jan 1, 2012 will become healthy before the endof the year, but will not remain continuously healthy until the end of the year.A. 0.0015B. 0.0063C. 0.0155D. 0.0449E. 0.0721Hint: Make a time diagram, write corresponding integral.

The given information is as follows,The following constant forces of transition are as

Hamsters at a pet shop can either be Healthy (State 0), Injured (State 1), or Dead (State 2). Hamsters can transition both ways between State 0 and State 1, but cannot move out of State 2 once in that state. You are given the following constant forces of transition: (i) μ01 = 0.03 (ii) ¹0 = 0.08 (iii) 02 = 0.01 (iv) ¹2 = 0.09 Calculate the probability that an injured hamster on Jan 1, 2012 will become healthy before the end of the year, but will not remain continuously healthy until the end of the year. C. 0.0155 A. 0.0015 B. 0.0063 Hint: Make a time diagram, write corresponding integral. D. 0.0449 E. 0.0721