it is observed that 40% the tape recorders have a flaw and they will die within 6 months if they had a flaw.out of those that don't have a flaw,20%dies within 6 months.your tape recorder died in 4 months.what is the probability that it had the flaw?
Answers
Given : 40% the tape recorders have a flaw and they will die within 6 months if they had a flaw.
out of those that don't have a flaw, 20%dies within 6 months.
your tape recorder died in 4 months.
To Find : the probability that it had the flaw
Solution:
let say Total tape recorders = 100T
Have flaw = (40/100) 100T = 40T
Does not have flaw = 100T - 40T = 60T
die within 6 months if they had a flaw. = 40T
out of those that don't have a flaw, 20%dies within 6 months.
= (20/100)60T
= 12T
40T + 12T = 52T Expected to dies with in 6 months
probability that it had the flaw = 40/52
= 10/13
= 0.77
10/13 or 0.77 is the probability that it had the flaw
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