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? a) 0.1056 b) 0.1151 c) 0.8849 d) 0.8944 e) 0.1587 f) none of the above.

Respuesta :

The probability that an Endure All battery selected at random will last more than 610 hours is 0.1056.

What is a normal distribution?

A data collection with a normal distribution is put up so that the majority of the values cluster in the middle of the range and the remaining values taper off symmetrically in either direction.

Here, we have

Normally distributed with a mean of 500 hours and a standard deviation of 40 hours.

We have to calculate the probability that an endure all battery selected at random will last more than 550 hours.

Given that μ = 500, σ = 40, for x > 550

z = 550-500/40

z = 1.25

From the normal distribution table, P(z > 1.25) = 1 - P(z < 1.25) = 1 - 0.8944 = 0.1056

Hence, The probability that an Endure All battery selected at random will last more than 610 hours is 0.1056.

To learn more about the normal distribution from the given link

https://brainly.com/question/4079902

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