SOLUTION: a manufacturer offers a warranty on a new line of cell phones. If the average warranty offered is 48 months, with a standard deviation of 12 months, what is the probability that it

Algebra ->  Probability-and-statistics -> SOLUTION: a manufacturer offers a warranty on a new line of cell phones. If the average warranty offered is 48 months, with a standard deviation of 12 months, what is the probability that it      Log On


   

Question 1085642: a manufacturer offers a warranty on a new line of cell phones. If the average warranty offered is 48 months, with a standard deviation of 12 months, what is the probability that it will break before 24 months? Assume a normal distribution
Answer by mathmate(429) About Me  (Show Source):
You can put this solution on YOUR website!
Question:
a manufacturer offers a warranty on a new line of cell phones. If the average warranty offered is 48 months, with a standard deviation of 12 months, what is the probability that it will break before 24 months? Assume a normal distribution

We are given that the distribution is normal, with
mean=mu=48
standard deviation=sigma=12
and
P(x therefore
P(x<24)=Z(<(24-48)/12)=Z(<-2)=0.02275 (from normal probability tables)

Hence
probability that the cell phone will break before 24 months is 0.02275.