Question

Company XYZ know that replacement times for the DVD players it produces are normally distributed with a mean of 7.3 years and a standard deviation of 1.3 years.

Find the probability that a randomly selected DVD player will have a replacement time less than 4.3 years?

P(X < 4.3 years) =

Answer 1

To find the probability that a randomly selected DVD player will have a replacement time less than 4.3 years, we can use the z-score formula to standardize the value. The probability is approximately 0.0106, or 1.06%.

Step-by-step explanation:

To find the probability that a randomly selected DVD player will have a replacement time less than 4.3 years, we need to standardize the value using the z-score formula.

The formula for the z-score is: z = (x - mean) / standard deviation.

Substituting in the given values: z = (4.3 - 7.3) / 1.3 = -2.3077.

We can then use a standard normal distribution table or a calculator to find the probability corresponding to this z-score.

The probability that a randomly selected DVD player will have a replacement time less than 4.3 years, P(X < 4.3 years), is approximately 0.0106, or 1.06%.