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A hardware store sells planks of wood. the lengths, in centimetres, of the planks are normally distributed with mean 210 and standard deviation 7. two planks are selected at random. find the probability that they differ in length by more than 10 cm.

Sagot :

The required probability that they differ in length by more than 10 cm is 1.

Given that,
A hardware store sells planks of wood. the lengths, in centimeters, of the planks are normally distributed with a mean of 210 and a standard deviation of 7. two planks are selected at random. find the probability that they differ in length by more than 10 cm is to be determined.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,

The
P(x > 10) = p(z = (x - μ)/σ)
P(x > 10) = p(z = (10 - 210)/7)
P(x > 10) = p(z = -28.57143)
P(x > 10) = 1

Thus, the required probability that they differ in length by more than 10 cm is 1.

Learn more about probability here:

brainly.com/question/14290572

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