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Endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 hours and a standard deviation of 40 hours. What is the probability that an endure all battery selected at random will last more than 550 hours?.

Respuesta :

An Endure chosen randomly the likelihood of any battery lasting longer than 550 hours is 10.56%.

What does z score mean?

  • An indicator of how nearly a value relates to the mean of either a set of values is called a Z-score.
  • Z-score is quantified using standard deviations relative to the mean.
  • The data point's entire score is equal to the mean score when the Z-score is 0.
  • The amount that the raw score departs first from mean is determined using the Z score.

These steps are used to determine the Z score:

z = (x - μ)/σ

As mentioned in question-

x > 550 and μ = 500, σ = 40:

z = 550 - 500 / 40

z = 1.25

Obtain the p-value from normal distribution chart,

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Thus, an Endure chosen at random the likelihood of any battery lasting longer than 550 hours is 10.56%.

To know more about the z score, here

brainly.com/question/21781956

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