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Mathematics, 13.08.2019 12:10 tyme66

a set of tires is designed to last 6 years, with a standard deviation of 2 years. what is the probability that a tire will last less than 4 years?
1%
10%
16%
26%

Answers

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Answer from: copperrock15

16%

Step-by-step explanation:

Let the mean of the population of tires denoted by \mu  and standard deviation as \sigma.

Given : A set of tires is designed to last 6 years, with a standard deviation of 2 years.

i.e.  \mu=6  and \sigma=2

Let x be the random variable that represents the life of tires.

Z-score : \dfrac{x-\mu}{\sigma}

For x = 4 , we have

\dfrac{4-6}{2}=-1

Now by using standard normal distribution table we have,

The probability that a tire will last less than 4 years will be :-

P(x

Hence, the probability that a tire will last less than 4 years = 16%

ansver
Answer from: Quest

$32,660

step-by-step explanation:

ansver
Answer from: Quest
The answer of the above is

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