endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 hr. and a standard deviation of 40 hr. what is the probability that an endure all battery selected at random will last more than 550 hours? a) exam image b) exam image c) exam image d) exam image e) exam image f) none of the above.

Respuesta :

Therefore , the  probability that an endure all battery selected at random will last more than 550 hours is 0.0301.

What is the process of probability?

Probabilities can be expressed as proportions with a 0–1 range or as percentages with a 0%–100% range. If an event has a probability of 1, it is very certain to occur; if it has a probability of 0, it has no chance of occurring. There are 45 chances out of 100 that an event will occur when its probability is 0.45 (45%).

Here,

let say this variable is X.

so we have to find P(X>575)

=> P((X-500)/40 > 1.88)

=> P(Z>1.88)

=> 1 - P(Z<1.88) = 0.0301

Therefore , the  probability that an endure all battery selected at random will last more than 550 hours is 0.0301.

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