Atire company finds the lifespan for one brand of its tires is normally distributed with a mean of 50,000 miles and a standard deviation of 4,000 miles. What is the Z-score for a tire lasting 52,000
miles?
0.96
0.88
0.50
25

Option C) 0.50 is the Z-score for a tire lasting 52,000  miles.

Step-by-step explanation:

The z-core is the value decreased by the mean, divided by the standard deviation.

The formula to calculate the z-score value is given by,

It is given that,

Therefore the x value is 52000. Now, substitute the following in z-score formula,

⇒ z-score = (52000 - 50000) / 4000

⇒ z-score = 0.50

∴ Option C) 0.50 is the Z-score for a tire lasting 52,000  miles.

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