Question

The length of life of a product produced by a company has a normal distribution with a
mean of 12 months and standard deviation of 2 months. Find the probability that a
product produced by this company will last less than 9 months.

Answer 1

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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