Answer:
Required probability = 91.72%
expected number = 2.4909
Expected number = 3332.33
probability = 8.28%
Required probability = 0.03%
Explanation:
given data
effective = 99.97%
time = 3 month
claims performed = 8,303
solution
At least one of the vasectomies perform not effective
so Required probability = 1 - P(All are effective) .................1
put here value and we get
Required probability =
Required probability = 1 - 0.0828
Required probability = 0.9172
Required probability = 91.72%
and
we know expected number is express as here
expected number is = n × p ..................2
put here value and we get
expected number = 8303 × (1 - 0.9997)
expected number = 8303 × 0.0003
expected number = 2.4909
and
Expected Number of vasectomies perform before patient return complain is
Expected number = ..............3
put here value and we get
Expected number =
Expected number = 3333.33 - 1
Expected number = 3332.33
and
when probability that 0 of his patients
probability = 100% - 91.72%
probability = 8.28%
and
when probability that the 2nd person he performed a vasectomy than
Required probability = p × q ...................4
put here value and we get
Required probability = (1-0.9997) × 0.9997
Required probability = 0.0003
Required probability = 0.03%