the length of the Life of an instrument produced by a machine has a normal distribution with a mean of 12 months and standard deviation of 2 months find the probability that an instrument produced by this machine will last less thn 7 months, between 7 and 16 months and mire than 16 months
Answers
0.0062 is the probability that an instrument produced by this machine will last less than 7 months
Step-by-step explanation:
Mean = 12
SD = 2
Z = (Value - Mean)/SD
Value = 7 month
Z = (7 - 12)/2 = - 2.5
=> 0.0062 is the probability that an instrument produced by this machine will last less than 7 months
Value = 16 months
Z = (16 - 12)/2 = 2 => 1 - 0.9972 = 0.0228
=> 0.0228 is the probability that an instrument produced by this machine will last more than 16 months
0.9972 - 0.0062 = 0.991
0.991 is the probability that an instrument produced by this machine will last between 7 and 16 months
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