Answer to Question #292506 in Statistics and Probability for rox

Question #292506

In 2018, the braking distance of Toyota Camry cars on a wet surface follows a normal distribution. Its mean is 122 feet with a standard deviation of 20 feet. What is the probability that a randomly selected Toyota Camry will have a braking distance of more than 130 feet?

1
Expert's answer
2022-02-02T09:36:08-0500

Let X=X= the braking distance:XN(μ,σ2).X\sim N(\mu, \sigma^2).

Given μ=122ft,σ=20ft.\mu=122ft, \sigma=20ft.


P(X>130)=1P(X130)P(X>130)=1-P(X\le130)

=1P(Z13012220)=1P(Z0.4)=1-P(Z\leq\dfrac{130-122}{20})=1-P(Z\leq0.4)

0.344578\approx0.344578


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