An automobile battery manufacturer claims that its mid grade battery has a mean of 50 months with a standard deviation of six months. Suppose the distribution of battery lives of this particular brand is approximately normal. On the assumption that all of this is true :Let X= the number of months the battery will last.
(A)Find the probability that a single battery of this type will last longer than 51 months.
(B) Find the probability that the mean of a random sample of 36 batteries will be over 51 months.
why do you think the values from part (a) and part (b) are different?
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