SOLUTION: A certain type of storage battery lasts on the average 3.0 years, with a standard deviation of 0.5 year. Assuming that the battery lives are normally distributed, find the probabi

Algebra ->  Probability-and-statistics -> SOLUTION: A certain type of storage battery lasts on the average 3.0 years, with a standard deviation of 0.5 year. Assuming that the battery lives are normally distributed, find the probabi      Log On


   



Question 1151589: A certain type of storage battery lasts on the average 3.0 years, with a standard deviation of
0.5 year. Assuming that the battery lives are normally distributed, find the probability that a
given battery will last less than 2.3 years.

Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
z-score = %282.3+-+3.0%29%2F0.5 = %28-0.7%29%2F0.5 = -1.40

Looking up -1.40 on a z-table gives you a value of 0.0808. This means there is a 0.0808 probability the given battery will last less than 2.3 years.