Question

A tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.98mm and a standard deviation of 0.35mm. Find the probability that a randomly selected tire will have a depth less than 0.50mm. Would this outcome warrant a refund (meaning that it would be unusual)?

Answer 1

The probability is that a randomly selected tire that has a depth less than 0.50 mm will be 0.085121.

What is a normal distribution?

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

A tire company measures the tread on newly-produced tires and finds that they are normally distributed with a mean depth of 0.98mm and a standard deviation of 0.35mm.

Then the probability is that a randomly selected tire has a depth less than 0.50 mm will be

The value of the z-score will be

z = (0.50 - 0.98) / 0.35

z = -1.3714

Then the probability will be

P(x < 0.50) = P(z < -1.3714)

P(x < 0.50) = 0.085121

More about the normal distribution link is given below.

https://brainly.com/question/12421652

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