QuestionThe life of a Radio Shack record player is normally distributed with a mean of 3.3 years and a standard deviation of 0.8 years. Radio Shack guarantees its record players for 2 years.
Find the probability that a record player will break down during the guarantee period. 0.03417 0.05208 0.06302 0.04218 0.03796 0.05729 0.04687

Studdy Solution
Use the Z-score to find the probability from the standard normal distribution table. The Z-score of -1.625 corresponds to the probability that the record player will break down within 2 years.
Look up $Z = -1.625$ in the standard normal distribution table, or use a calculator to find the probability.
$$P(Z < -1.625) \approx 0.05208$$
The probability that a record player will break down during the guarantee period is:
$$\boxed{0.05208}$$