2.Suppose the life of a particular brand of calculator battery is approximately normally distributed with a mean of 75 hours and a standard deviation of 9 hours. Complete parts a through c.
a. What is the probability that a single battery randomly selected from the population will have a life between 65 and 85hours?
P(65≤ overbar x≤85)=
(Round to four decimal places as needed.)
Sol: The above question is based on the probablity distribution of Z score.
Z- score shows the value away from mean value. here the range is: 85-65
Mean value= 75 hours and standard deviation = 9.
z(score 65)= 65-75/9= -1.11
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